docs: simplify brew install instructions

README.md

@@ -134,19 +134,20 @@ architectures:
 
 ## Homebrew
 
-dbc is available via the Columnar Homebrew tap. The tap will first need
-to be added to your environment:
+You can install dbc from our Homebrew tap by running:
 
-```sh
-brew tap columnar-tech/tap
+```console
+$ brew install columnar-tech/tap/dbc
 ```
 
-Once you've done this you can install the `dbc` cask:
+This will automatically configure our tap and install dbc from it. If you'd rather do this as two separate commands, you can run:
 
-```sh
-brew install --cask dbc
+```console
+$ brew tap columnar-tech/tap
+$ brew install dbc
 ```
 
+
 ## Getting Started
 
 Once you have dbc available to you on the command line, you can install an ADBC

docs/getting_started/installation.md

@@ -151,17 +151,17 @@ The following distroless images are available for Linux-based `amd64` and `arm64
 
 ## Homebrew
 
-`dbc` is available via the Columnar Homebrew tap. The tap will first need
-to be added to your environment:
+You can install dbc from our Homebrew tap by running:
 
 ```console
-$ brew tap columnar-tech/tap
+$ brew install columnar-tech/tap/dbc
 ```
 
-Once you've done this you can install the `dbc` cask:
+This will automatically configure our tap and install dbc from it. If you'd rather do this as two separate commands, you can run:
 
 ```console
-$ brew install --cask dbc
+$ brew tap columnar-tech/tap
+$ brew install dbc
 ```
 
 ## Shell Completions

docs/index.md

@@ -61,8 +61,7 @@ dbc is a command-line tool for installing and managing [ADBC](https://arrow.apac
 === "Homebrew"
 
     ```console
-    $ brew tap columnar-tech/tap
-    $ brew install --cask dbc
+    $ brew install columnar-tech/tap/dbc
     ```
 
 <br/>2. Use dbc to install drivers: