WordPress Migration to Shared Hosting

I'm looking for an experienced professional to help me move my WordPress site from its current server to a new shared hosting server. The project includes:

- Full migration of my WordPress site to the new server
- Assistance with transferring my domain

I have full access to my current hosting control panel, so that won't be a limitation. However, I would appreciate your expertise on the domain transfer process as I am unsure of all the details.

Ideal skills for this job include:
- Extensive experience with WordPress
- Strong knowledge of shared hosting servers
- Proven track record in domain transfer
- Good communication skills for explaining technical details to a non-expert

Please let me know if you can assist.