What affordable/reliable hosting to migrate from Bluehost WordPress sites?

Hi there, I am thinking about namecheap since they show the process is easy using CPanel: https://www.namecheap.com/support/knowledgebase/article.aspx/9539/2199/how-to-transfer-from-bluehost

but I am sure this won't be that easy and the WP sites may break?

can you please recommend from your experience a reliable hosting provider that was easy and secure to make this migration?

thanks in advance