diff --git a/.github/PULL_REQUEST_TEMPLATE.md b/.github/PULL_REQUEST_TEMPLATE.md
index 10991facb3..a0d41f9841 100644
--- a/.github/PULL_REQUEST_TEMPLATE.md
+++ b/.github/PULL_REQUEST_TEMPLATE.md
@@ -5,5 +5,5 @@ TODO:
 * [ ] Add docstrings and API docs for any new/modified user-facing classes and functions
 * [ ] New/modified features documented in docs/tutorial.rst
 * [ ] Changes documented in docs/release.rst
-* [ ] AppVeyor and Travis CI passes
-* [ ] Test coverage is 100% (Coveralls passes)
+* [ ] GitHub Actions have all passed
+* [ ] Test coverage is 100% (Codecov passes)
diff --git a/appveyor.yml b/appveyor.yml
deleted file mode 100644
index 271abeb233..0000000000
--- a/appveyor.yml
+++ /dev/null
@@ -1,51 +0,0 @@
-branches:
-  only:
-    - master
-
-# the VS C++ compiler path, doesn't seem to exist in the PATH environment variable of
-# the Visual Studio 2017 build VM, due to which the pyosreplace package fails to build
-image: Visual Studio 2015
-
-environment:
-
-  global:
-    # SDK v7.0 MSVC Express 2008's SetEnv.cmd script will fail if the
-    # /E:ON and /V:ON options are not enabled in the batch script intepreter
-    # See: http://stackoverflow.com/a/13751649/163740
-    CMD_IN_ENV: "cmd /E:ON /V:ON /C .\\build.cmd"
-    EMULATOR_LOC: C:\\Program Files (x86)\\Microsoft SDKs\\Azure\\Storage Emulator\\AzureStorageEmulator.exe
-
-  matrix:
-    - PYTHON: "C:\\Python36-x64"
-      PYTHON_VERSION: "3.6"
-      ZARR_TEST_ABS: 0
-
-    - PYTHON: "C:\\Python37-x64"
-      PYTHON_VERSION: "3.7"
-      ZARR_TEST_ABS: 0
-
-    - PYTHON: "C:\\Python38-x64"
-      PYTHON_VERSION: "3.8"
-      ZARR_TEST_ABS: 1
-
-install:
-  - "SET PATH=%PYTHON%;%PYTHON%\\Scripts;%PATH%"
-  - "%CMD_IN_ENV% python -m pip install -U pip setuptools wheel"
-  - "%CMD_IN_ENV% python -m pip install -r requirements_dev_numpy.txt -r requirements_dev_minimal.txt -r requirements_dev_optional.txt"
-  - "%CMD_IN_ENV% python setup.py install"
-  - "%CMD_IN_ENV% python -m pip freeze"
-
-build: off
-
-before_test:
-  - '"%EMULATOR_LOC%" start'
-  - '"%EMULATOR_LOC%" status'
-
-test_script:
-  - "%CMD_IN_ENV% python -m pytest -v --pyargs zarr"
-
-after_test:
-  - '"%EMULATOR_LOC%" stop'
-  
-matrix:
-  fast_finish: true
diff --git a/docs/contributing.rst b/docs/contributing.rst
index b129c983e3..06c4abbba0 100644
--- a/docs/contributing.rst
+++ b/docs/contributing.rst
@@ -169,13 +169,11 @@ server locally and set the environment variable ``ZARR_TEST_MONGO=1``.
 To run the Redis storage tests, run a Redis server locally on port
 6379 and set the environment variable ``ZARR_TEST_REDIS=1``.
 
-All tests are automatically run via Travis (Linux) and AppVeyor
-(Windows) continuous integration services for every pull
-request. Tests must pass under both Travis and Appveyor before code
-can be accepted. Test coverage is also collected automatically via the
-Coveralls service, and total coverage over all builds must be 100%
-(although individual builds may be lower due to Python 2/3 or other
-differences).
+All tests are automatically run via GitHub Actions for every pull
+request and must pass before code can be accepted. Test coverage is
+also collected automatically via the Codecov service, and total
+coverage over all builds must be 100% (although individual builds
+may be lower due to Python 2/3 or other differences).
 
 Code standards
 ~~~~~~~~~~~~~~
@@ -196,8 +194,8 @@ and produce a coverage report. This should be 100% before code can be accepted i
 main code base.
 
 When submitting a pull request, coverage will also be collected across all supported
-Python versions via the Coveralls service, and will be reported back within the pull
-request. Coveralls coverage must also be 100% before code can be accepted.
+Python versions via the Codecov service, and will be reported back within the pull
+request. Codecov coverage must also be 100% before code can be accepted.
 
 Documentation
 ~~~~~~~~~~~~~
@@ -239,8 +237,8 @@ Pull requests submitted by an external contributor should be reviewed and approv
 one core developers before being merged. Ideally, pull requests submitted by a core developer
 should be reviewed and approved by at least one other core developers before being merged.
 
-Pull requests should not be merged until all CI checks have passed (Travis, AppVeyor,
-Coveralls) against code that has had the latest master merged in.
+Pull requests should not be merged until all CI checks have passed (GitHub Actions
+Codecov) against code that has had the latest master merged in.
 
 Compatibility and versioning policies
 ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
diff --git a/requirements_dev_optional.txt b/requirements_dev_optional.txt
index 697758dac7..cbc9aca562 100644
--- a/requirements_dev_optional.txt
+++ b/requirements_dev_optional.txt
@@ -5,7 +5,7 @@ lmdb==0.97; sys_platform != 'win32'
 ipytree==0.1.3
 # optional library requirements for services
 # don't let pyup change pinning for azure-storage-blob, need to pin to older
-# version to get compatibility with azure storage emulator on appveyor
+# version to get compatibility with azure storage emulator on appveyor (FIXME)
 azure-storage-blob==2.0.1 # pyup: ignore
 redis==3.3.8
 pymongo==3.9.0