diff --git a/.github/workflows/check.yml b/.github/workflows/check.yml
new file mode 100644
index 0000000..be5f271
--- /dev/null
+++ b/.github/workflows/check.yml
@@ -0,0 +1,75 @@
+name: Perform checks
+
+on:
+  push:
+  pull_request:
+  workflow_dispatch:
+
+jobs:
+  formatting:
+    runs-on: ubuntu-latest
+    steps:
+      - uses: actions/checkout@v4
+      - name: Install nix
+        uses: DeterminateSystems/nix-installer-action@main
+      - name: Restore and cache Nix store
+        uses: nix-community/cache-nix-action@v5
+        with:
+          # restore and save a cache using this key
+          primary-key: nix-${{ runner.os }}-${{ hashFiles('**/*.nix') }}
+          # if there's no cache hit, restore a cache by this prefix
+          restore-prefixes-first-match: nix-${{ runner.os }}-
+          # collect garbage until Nix store size (in bytes) is at most this number
+          # before trying to save a new cache
+          gc-max-store-size-linux: 1073741824
+          # do purge caches
+          purge: true
+          # purge all versions of the cache
+          purge-prefixes: cache-${{ runner.os }}-
+          # created more than this number of seconds ago relative to the start of the `Post Restore` phase
+          purge-created: 0
+          # except the version with the `primary-key`, if it exists
+      - uses: DeterminateSystems/magic-nix-cache-action@main
+      - name: Check Nix flake inputs
+        uses: DeterminateSystems/flake-checker-action@v4 # This action
+      - name: Run nix fmt
+        run: nix fmt -- --check .
+
+  nix_flake_check:
+    runs-on: ubuntu-latest
+    steps:
+      - uses: actions/checkout@v4
+      - name: Install nix
+        uses: DeterminateSystems/nix-installer-action@main
+      - name: Restore and cache Nix store
+        uses: nix-community/cache-nix-action@v5
+        with:
+          # restore and save a cache using this key
+          primary-key: nix-${{ runner.os }}-${{ hashFiles('**/*.nix') }}
+          # if there's no cache hit, restore a cache by this prefix
+          restore-prefixes-first-match: nix-${{ runner.os }}-
+          # collect garbage until Nix store size (in bytes) is at most this number
+          # before trying to save a new cache
+          gc-max-store-size-linux: 1073741824
+          # do purge caches
+          purge: true
+          # purge all versions of the cache
+          purge-prefixes: cache-${{ runner.os }}-
+          # created more than this number of seconds ago relative to the start of the `Post Restore` phase
+          purge-created: 0
+          # except the version with the `primary-key`, if it exists
+      - name: Check Nix flake inputs
+        uses: DeterminateSystems/flake-checker-action@v4 # This action
+      - name: Run nix flake check
+        run: nix flake check
+
+  nix_build:
+    runs-on: ubuntu-latest
+    steps:
+      - uses: actions/checkout@v4
+      - name: Install nix
+        uses: DeterminateSystems/nix-installer-action@main
+      - name: Check Nix flake inputs
+        uses: DeterminateSystems/flake-checker-action@v4 # This action
+      - name: Build nvim
+        run: nix build .\#default
diff --git a/.github/workflows/update.yml b/.github/workflows/update.yml
new file mode 100644
index 0000000..cd160d1
--- /dev/null
+++ b/.github/workflows/update.yml
@@ -0,0 +1,44 @@
+name: Update `flake.lock`
+on:
+  workflow_dispatch:
+  schedule:
+    - cron: '0 0 * * 0' # runs weekly on Sunday at 00:00
+
+jobs:
+  update_lockfile:
+    runs-on: ubuntu-latest
+    steps:
+      - name: Checkout repository
+        uses: actions/checkout@v4
+      - name: Install nix
+        uses: DeterminateSystems/nix-installer-action@main
+      - name: Restore and cache Nix store
+        uses: nix-community/cache-nix-action@v5
+        with:
+          # restore and save a cache using this key
+          primary-key: nix-${{ runner.os }}-${{ hashFiles('**/*.nix') }}
+          # if there's no cache hit, restore a cache by this prefix
+          restore-prefixes-first-match: nix-${{ runner.os }}-
+          # collect garbage until Nix store size (in bytes) is at most this number
+          # before trying to save a new cache
+          gc-max-store-size-linux: 1073741824
+          # do purge caches
+          purge: true
+          # purge all versions of the cache
+          purge-prefixes: cache-${{ runner.os }}-
+          # created more than this number of seconds ago relative to the start of the `Post Restore` phase
+          purge-created: 0
+          # except the version with the `primary-key`, if it exists
+          purge-primary-key: never
+      - name: Update flake.lock
+        uses: DeterminateSystems/update-flake-lock@main
+        with:
+          # inputs: dzgui dzgui-testing # We'll see whether I want to limit the updates to dzgui
+          token: ${{ secrets.GH_TOKEN_FOR_UPDATES }}
+          pr-title: "Update flake.lock"
+          pr-assignees: jiriks74
+          pr-labels: |
+            flake.lock
+            automated
+      - name: Print PR number
+        run: echo Pull request number is ${{ steps.update.outputs.pull-request-number }}.