diff --git a/Makefile b/Makefile
index df83c61de4..1184e6a176 100644
--- a/Makefile
+++ b/Makefile
@@ -17,6 +17,8 @@ help:
 	@echo "  clean            Forces a rebuild of docker containers"
 	@echo "  shell            Opens a Bash shell"
 	@echo "  test             Runs the Python test suite"
+	@echo "  test-frontend    Runs the new frontend's test suite"
+	@echo "  flow             Runs the Flow type checker on the frontend code"
 	@echo "  loaddb           Load a database dump into postgres, file name in DB_DUMP_FILE"
 	@echo "  build-frontend   Builds the frontend static files"
 	@echo "  build-frontend-w Watches the frontend static files and builds on change\n"
@@ -24,9 +26,6 @@ help:
 .docker-build:
 	make build
 
-assets:
-	mkdir -p assets
-
 build:
 	cp ./docker/config/webapp.env.template ./docker/config/webapp.env
 	sed -i -e 's/#SITE_URL#/$(subst /,\/,${SITE_URL})/g' ./docker/config/webapp.env
@@ -46,43 +45,34 @@ clean:
 	rm .docker-build
 
 test:
-	./docker/run_tests_in_docker.sh ${ARGS}
+	${DC} run --rm webapp /app/docker/run_tests.sh
 
 test-frontend:
-	${DOCKER} run --rm \
-		-v `pwd`:/app \
-		--workdir /app/frontend \
-		--tty \
-		--interactive \
-		local/pontoon yarn test
+	${DC} run --rm -w /app/frontend webapp yarn test
 
 flow:
-	${DOCKER} run --rm \
-		-v `pwd`:/app \
-		-e SHELL=bash \
-		--workdir /app/frontend \
-		--tty --interactive \
-		local/pontoon yarn flow:dev
+	${DC} run --rm -w /app/frontend -e SHELL=/bin/bash webapp yarn flow:dev
 
 shell:
-	./docker/run_tests_in_docker.sh --shell
+	${DC} run --rm webapp /bin/bash
 
 loaddb:
+	# Stop connections to the database so we can drop it.
 	-${DC} stop webapp
-	-${DOCKER} exec -i `${DC} ps -q postgresql` dropdb -U pontoon pontoon
-	${DOCKER} exec -i `${DC} ps -q postgresql` createdb -U pontoon pontoon
+	# Make sure the postgresql container is running.
+	-${DC} start postgresql
+	-${DC} exec postgresql dropdb -U pontoon pontoon
+	${DC} exec postgresql createdb -U pontoon pontoon
+	# Note: docker-compose doesn't support the `-i` (--interactive) argument
+	# that we need to send the dump file through STDIN. We thus are forced to
+	# use docker here instead.
 	${DOCKER} exec -i `${DC} ps -q postgresql` pg_restore -U pontoon -d pontoon -O < ${DB_DUMP_FILE}
 
-build-frontend: assets
-	${DC} run webapp npm run build
+build-frontend:
+	${DC} run --rm webapp npm run build
 
-build-frontend-w: assets
-	${DOCKER} run --rm \
-		-v `pwd`:/app \
-		--workdir /app \
-		-e LOCAL_USER_ID=$UID \
-		--tty --interactive \
-		local/pontoon npm run build-w
+build-frontend-w:
+	${DC} run --rm webapp npm run build-w
 
 # Old targets for backwards compatibility.
 dockerbuild: build
diff --git a/README.md b/README.md
old mode 100755
new mode 100644
diff --git a/docker-compose.yml b/docker-compose.yml
index cf2db898b8..145c723840 100644
--- a/docker-compose.yml
+++ b/docker-compose.yml
@@ -29,9 +29,10 @@ services:
       - "8000:8000"
       - "3000:3000"
     volumes:
-      - .:/app
-    entrypoint:
-      - ./docker/entrypoint_webapp.sh
+      - ./pontoon:/app/pontoon
+      - ./frontend/src:/app/frontend/src
+      - ./frontend/public:/app/frontend/public
+      - ./tests:/app/tests
 
   postgresql:
     build:
diff --git a/docker/Dockerfile b/docker/Dockerfile
index 1b7ecbc812..6e6894acc6 100644
--- a/docker/Dockerfile
+++ b/docker/Dockerfile
@@ -26,41 +26,15 @@ RUN curl -sS https://dl.yarnpkg.com/debian/pubkey.gpg | apt-key add - && \
 RUN DEBIAN_FRONTEND=noninteractive apt-get update && \
     DEBIAN_FRONTEND=noninteractive apt-get install -y nodejs yarn
 
-# Create some folders and give them to the app user
-RUN mkdir -p /webapp-frontend-deps && \
-    chown app:app /webapp-frontend-deps
-
-RUN chown app:app /app
+COPY . /app/
 
 # Create the folder for front-end assets
-RUN mkdir -p /webapp-frontend-deps/assets && \
-    chown app:app /webapp-frontend-deps/assets
-
-# Create the folders for Translate.Next
-RUN mkdir -p /app/frontend && \
-    mkdir -p /webapp-frontend-deps/frontend/build
-
-RUN chown -R app:app /webapp-frontend-deps
+RUN mkdir -p /app/assets
 
 # Install node requirements
-COPY ./package.json /webapp-frontend-deps/package.json
-COPY ./package-lock.json /webapp-frontend-deps/package-lock.json
-RUN cd /webapp-frontend-deps && npm install
-
-COPY ./frontend/package.json /webapp-frontend-deps/frontend/package.json
-COPY ./frontend/yarn.lock /webapp-frontend-deps/frontend/yarn.lock
-RUN cd /webapp-frontend-deps/frontend && yarn install
-
-# Link to the node modules installed with npm and yarn. We install those in
-# different folders because when using this container in development,
-# we replace the /app folder with a volume. By putting those dependencies
-# outside of /app, we can reuse them more easily.
-RUN ln -s /webapp-frontend-deps/node_modules /app/node_modules && \
-    ln -s /webapp-frontend-deps/assets /app/assets && \
-    ln -s /webapp-frontend-deps/frontend/node_modules /app/frontend/node_modules && \
-    ln -s /webapp-frontend-deps/frontend/build /app/frontend/build
+RUN cd /app && npm install
+RUN cd /app/frontend && yarn install
 
-COPY . /app/
 COPY ./docker/config/webapp.env /app/.env
 
 # Python environment variables
@@ -82,4 +56,6 @@ RUN cd /app/frontend/ && yarn build
 # static files.
 RUN cd /app/ && python manage.py collectstatic --noinput
 
+RUN chown -R app:app /app
+
 CMD ["/app/docker/run_webapp.sh"]
diff --git a/docker/entrypoint_webapp.sh b/docker/entrypoint_webapp.sh
deleted file mode 100755
index 8cd017d52d..0000000000
--- a/docker/entrypoint_webapp.sh
+++ /dev/null
@@ -1,19 +0,0 @@
-#!/bin/bash
-
-# Make sure links to the node modules are created.
-ln -s /webapp-frontend-deps/node_modules /app/node_modules
-ln -s /webapp-frontend-deps/frontend/node_modules /app/frontend/node_modules
-ln -s /webapp-frontend-deps/frontend/build /app/frontend/build
-ln -s /webapp-frontend-deps/assets /app/assets
-
-# Add local user
-# Either use the LOCAL_USER_ID if passed in at runtime or
-# fallback
-
-USER_ID=${LOCAL_USER_ID:-10001}
-
-echo "Starting with UID : $USER_ID"
-usermod -o -u $USER_ID app
-chown -R app:app /app
-export HOME=/home/app
-exec /usr/local/bin/gosu app "$@"
diff --git a/docker/run_tests_in_docker.sh b/docker/run_tests_in_docker.sh
deleted file mode 100755
index 326f70a968..0000000000
--- a/docker/run_tests_in_docker.sh
+++ /dev/null
@@ -1,51 +0,0 @@
-#!/bin/bash
-
-# Script that sets up the docker environment to run the tests in and runs the
-# tests.
-
-# Pass --shell to run a shell in the test container.
-
-# Failures should cause setup to fail.
-set -e
-
-DC="$(which docker-compose)"
-
-# Use the same image we use for building docker images because it'll be cached
-# already.
-BASEIMAGENAME="local/pontoon_base"
-
-# Start services in background (this is idempotent).
-echo "Starting services in the background..."
-${DC} up -d postgresql
-
-# If we're running a shell, then we start up a test container with . mounted
-# to /app.
-if [ "$1" == "--shell" ]; then
-    echo "Running shell..."
-
-    docker run \
-           --rm \
-           --volume "$(pwd)":/app \
-           --workdir /app \
-           --network pontoon_default \
-           --link "${DC} ps -q postgresql" \
-           --env-file ./docker/config/webapp.env \
-           -e LOCAL_USER_ID=$UID \
-           --tty \
-           --interactive \
-           local/pontoon /bin/bash "${@:2}"
-
-else
-    docker run \
-           --rm \
-           --volume "$(pwd)":/app \
-           --workdir /app \
-           --network pontoon_default \
-           --link "${DC} ps -q postgresql" \
-           --env-file ./docker/config/webapp.env \
-           -e LOCAL_USER_ID=$UID \
-           local/pontoon \
-           /app/docker/run_tests.sh
-
-    echo "Done!"
-fi
diff --git a/docker/run_webapp.sh b/docker/run_webapp.sh
index 6bbec0fca3..f65b416911 100755
--- a/docker/run_webapp.sh
+++ b/docker/run_webapp.sh
@@ -2,9 +2,6 @@
 
 # Prepares then runs the webapp.
 
-echo ">>> Prepare revision file"
-git rev-parse HEAD > static/revision.txt
-
 echo ">>> Setting up the db for Django"
 python manage.py migrate