Create Separate README.md Files for Client and Server

The current repository contains both client and server code within a single README.md file. To enhance clarity and user experience, I propose creating separate README.md files for the client and server, each containing specific instructions on how to run them locally.

**Suggested Action:**
1. Create a new README.md file in the 'client' directory.
2. Populate the 'client' README.md with detailed instructions on setting up and running the client locally.
3. Create another README.md file in the 'server' directory.
4. Populate the 'server' README.md with comprehensive instructions on setting up and running the server locally.
5. Update the main README.md file to include links to both the 'client' and 'server' README.md files for easy navigation.

Read the existing root README.md, then inspect the client and server directories to identify the local setup and run instructions already used by each part. Add README.md files in both directories and link them from the root README.md; done means each component has its own instructions and the links are easy to find.

Written by the indexing model from the issue text.