diff --git a/.github/workflows/build_and_test.yml b/.github/workflows/build_and_test.yml
new file mode 100644
index 0000000..25ce964
--- /dev/null
+++ b/.github/workflows/build_and_test.yml
@@ -0,0 +1,74 @@
+name: Build and test packages
+
+on: [push]
+
+defaults:
+  run:
+    shell: bash
+
+jobs:
+  build-sdist:
+    name: Build source distribution
+    runs-on: ubuntu-20.04
+    steps:
+      - uses: actions/checkout@v2
+      - name: Set up Python 3.6
+        uses: actions/setup-python@v2
+        with:
+          python-version: 3.6
+      - name: Build source distribution
+        run: |
+          python -m pip install build
+          python -m build --sdist
+      - name: Upload source distribution
+        uses: actions/upload-artifact@v2
+        with:
+          name: sdist-${{ github.sha }}
+          path: ./dist/webp-*.tar.gz
+          retention-days: 7
+
+  test-sdist:
+    name: Test source distribution
+    needs: build-sdist
+    runs-on: ubuntu-20.04
+    steps:
+      - uses: actions/checkout@v2
+      - name: Fetch source distribution
+        uses: actions/download-artifact@v2
+        with:
+          name: sdist-${{ github.sha }}
+          path: dist/
+      - name: Set up Python 3.6
+        uses: actions/setup-python@v2
+        with:
+          python-version: 3.6
+      - name: Install the package
+        run: |
+          python -m pip install dist/webp-*.tar.gz
+      - name: Test with pytest
+        run: |
+          python -m pip install pytest
+          pytest tests/
+
+  build-wheels:
+    name: Build and test wheels on ${{ matrix.os }}
+    runs-on: ${{ matrix.os }}
+    strategy:
+      matrix:
+        os: [ubuntu-20.04, windows-2019]
+    env:
+      CIBW_BUILD: 'cp3*-manylinux_x86_64 cp3*-win_amd64'
+      CIBW_TEST_REQUIRES: pytest
+      CIBW_TEST_COMMAND: pytest {package}/tests
+    steps:
+      - uses: actions/checkout@v2
+      - uses: actions/setup-python@v2
+      - name: Install cibuildwheel
+        run: python -m pip install cibuildwheel==2.3.1
+      - name: Build wheels
+        run: python -m cibuildwheel --output-dir wheelhouse
+      - uses: actions/upload-artifact@v2
+        with:
+          name: wheels-${{ github.sha }}
+          path: ./wheelhouse/*.whl
+          retention-days: 7
diff --git a/.github/workflows/run_tests.yml b/.github/workflows/run_tests.yml
deleted file mode 100644
index 0d44af4..0000000
--- a/.github/workflows/run_tests.yml
+++ /dev/null
@@ -1,59 +0,0 @@
-name: Run tests for PyWebP
-
-on: [push]
-
-defaults:
-  run:
-    shell: bash
-
-jobs:
-  build-sdist:
-    runs-on: ubuntu-latest
-    steps:
-      - uses: actions/checkout@v2
-      - name: Set up Python 3.6
-        uses: actions/setup-python@v2
-        with:
-          python-version: 3.6
-      - name: Create source distribution
-        run: |
-          pip3 install build
-          python3 -m build --sdist
-      - name: Upload source distribution
-        uses: actions/upload-artifact@v2
-        with:
-          name: sdist-${{ github.sha }}
-          path: dist/webp-*.tar.gz
-          retention-days: 7
-
-  test:
-    needs: build-sdist
-    strategy:
-      matrix:
-        python-version: [3.6, 3.7, 3.8, 3.9]
-        python-arch: [x64]
-        os: [ubuntu-latest, windows-latest]
-        include:
-          - python-version: 3.6
-            python-arch: x86
-            os: windows-latest
-    runs-on: ${{ matrix.os }}
-    steps:
-      - uses: actions/checkout@v2
-      - name: Fetch source distribution
-        uses: actions/download-artifact@v2
-        with:
-          name: sdist-${{ github.sha }}
-          path: dist/
-      - name: Set up Python ${{ matrix.python-version }}
-        uses: actions/setup-python@v2
-        with:
-          python-version: ${{ matrix.python-version }}
-          architecture: ${{ matrix.python-arch }}
-      - name: Install the package
-        run: |
-          pip3 install dist/webp-*.tar.gz
-      - name: Test with pytest
-        run: |
-          pip3 install pytest==5.4.3
-          pytest tests/
diff --git a/README.md b/README.md
index 53534b8..5f27f6c 100644
--- a/README.md
+++ b/README.md
@@ -110,22 +110,23 @@ with open('anim.webp', 'rb') as f:
 $ pytest tests/
 ```
 
-### Cutting releases
-
-Source release:
-
-```console
-$ pip3 install build twine
-$ python3 -m build --sdist
-$ twine upload dist/webp-*.tar.gz
-```
-
-Linux binary wheel release (repeat for different Python versions and architectures):
-
-```console
-$ docker run -it -v `pwd`:/io -w /io quay.io/pypa/manylinux2014_x86_64 ./build_manylinux_wheels.sh
-$ twine upload dist/webp-*-manylinux_2_17_x86_64.manylinux2014_x86_64.whl
-```
+### Cutting a new release
+
+1. Ensure that tests are passing and everything is ready for release.
+2. Create and push a Git tag:
+   ```console
+   $ git tag -a v0.1.4
+   $ git push --tags
+   ```
+3. Download the artifacts from GitHub Actions, which will include the source distribution tarball and binary wheels.
+4. Create a new release on GitHub from the tagged commit and upload the packages as attachments to the release.
+5. Also upload the packages to PyPI using Twine:
+   ```console
+   $ twine upload webp-*.tar.gz webp-*.whl
+   ```
+6. Bump the version number in `setup.cfg` and create a commit, signalling the start of development on the next version.
+
+These files should also be added to a GitHub release.
 
 ## Known issues
 
diff --git a/build_manylinux_wheels.sh b/build_manylinux_wheels.sh
deleted file mode 100755
index c68c864..0000000
--- a/build_manylinux_wheels.sh
+++ /dev/null
@@ -1,15 +0,0 @@
-#!/usr/bin/bash -e
-#
-# This script generates manylinux wheels of pywebp for multiple different Python versions. It is
-# meant to be run inside a `quay.io/pypa/manylinux2014_x86_64` Docker container, like so:
-#
-#     $ docker run -it -v `pwd`:/io -w /io quay.io/pypa/manylinux2014_x86_64 ./build_manylinux_wheels.sh
-
-for PYVER in cp36-cp36m cp37-cp37m cp38-cp38 cp39-cp39
-do
-  /opt/python/$PYVER/bin/python setup.py bdist_wheel
-  /opt/python/$PYVER/bin/pip install dist/webp-*-$PYVER-linux_x86_64.whl
-  /opt/python/$PYVER/bin/pip install pytest==5.4.3
-  /opt/python/$PYVER/bin/pytest tests
-  auditwheel repair dist/webp-*-$PYVER-linux_x86_64.whl -w dist
-done