Updated the backend contribution guide (#544)

Author: wu-clan

backend/README.md

@@ -1,4 +1,4 @@
-# FBA Project - Backend
+# FastAPI Best Architecture - Backend
 
 ## Docker
 
@@ -21,41 +21,48 @@
 
 1. Prerequisites
 
-   You'll need the following prerequisites:
-    - Any python version between Python >= 3.10
+    - Python >= 3.10
     - Git
     - [uv](https://docs.astral.sh/uv/getting-started/installation/)
     - Fork this repository to your GitHub account
 
 2. Installation and setup
 
-   Clone your fork and cd into the repo directory
+   Clone your forked repository:
 
    ```shell
-   git clone https://github.com/<your username>/fastapi_best_architecture.git
-   
-   cd fastapi_best_architecture/backend
-   
+   git clone https://github.com/<your account>/fastapi_best_architecture.git
+   ```
+
+   Go to the root directory of the project, open the terminal, and run the following command:
+
+   ```sh
    uv sync --frozen
    ```
 
-3. Checkout a new branch and make your changes
+3. Checkout
+
+   Checkout a new branch and make your changes
 
    ```shell
-   # Checkout a new branch and make your changes
    git checkout -b your-new-feature-branch
    ```
 
-4. Run linting
+4. Format and Lint
+
+   Auto-formatting and lint via `pre-commit`
 
    ```shell
-   # Run automated code formatting and linting
    pre-commit run --all-files
    ```
 
-5. Commit and push your changes
+5. Commit and push
+
+   Commit your changes and push your branch to the GitHub.
+
+6. PR
 
-   Commit your changes, push your branch to GitHub, and create a pull request.
+   Create a PR via GitHub
 
 ## Scripts