Could you guide me through the migration process or let me know the best way to do it without downtime? Also, if there are any specific settings I should be aware of, please let me know.
It's difficult to answer with so few information. Your website is hidden behind Cloudflare acting as a cache/proxy, the DNS servers are also behind Cloudflare.
Can you tell whether you want to migrate to OVH
- the domain registration (currently Dynadot)
- the DNS zone (location unknown and serviced by Cloudflare)
- the web server (location unknown and services by Cloudflare, guess PHP and Wordpress and maybe some internal developemnt)
- the e-mails (guess non currently used)
Do you have access to the source code of your web site, and its attached database ?