I have big experience with website migration on such web hostings: GoDaddy, Hostinger, Bluehost, Dreamhost, Hostgator, GreenGeeks, SiteGround and others.
Also, have experience with server administration (Centos, Ubuntu).
I feel 100% confident to migrate your website in time, with high quality and following all your requirements.

Transfer Web Hosting in 9 Steps:

1. Sign Up to a New Hosting Provider
2. Save Website’s Files
3. Export Database
4. Create a New Database
5. Import Database
6. Modify Website’s Files
7. Upload Website’s Files
8. Test Website
9. Update DNS Settings