The right hosting follows from one question: who maintains this site? If the answer is “a professional, on a plan,” most options work. If the answer is “nobody, really,” the hosting needs to do some of the maintaining for you — and that narrows the field fast.
The three real categories
Managed platforms (Pantheon and Acquia for Drupal; WP Engine and similar for WordPress). The platform handles servers, PHP versions, automated backups, and staging environments. Costs more per month, and buys the thing unmaintained sites lack most: infrastructure that stays current whether or not anyone is watching. This is where we point most client sites, because the platform catches what a lapsed retainer drops.
Cloud servers (AWS, DigitalOcean, and kin). Cheapest raw compute, total control — and you are now the sysadmin. Nobody updates that server but you. Right when there’s real DevOps capacity in the picture; a quiet liability when there isn’t. A striking share of rescues involve a cloud server nobody has logged into for years.
Budget shared hosting. Fine for a brochure site with honest traffic expectations. The trouble isn’t snobbery, it’s ceilings: old PHP versions held long past their welcome, no staging, support that can’t see inside your application.
Signs you’re on the wrong one
Your host’s PHP version is older than your site. There’s no one-click backup restore. “Staging” means editing live and hoping. Or the monthly bill is enterprise-sized while the traffic is not — wrong-sized hosting runs in both directions.
Moving hosts is a well-worn portage — heavier than it looks at the put-in, very doable with the gear carried in the right order. If your site needs to move and the person who set up the current arrangement is gone, that’s a standard part of a rescue, not an extra.