I start with the site, not the brand. A five-page brochure site and a WooCommerce store need very different servers, so I size the plan to the traffic and the plugins in use.
I check the renewal price, the backup arrangement and how a restore works before a site goes live. I also keep an independent backup, because a host's own backups should not be your only copy.
On a new site I keep the theme and plugins lean, compress images and set up caching. That does more for speed than moving to a more expensive plan.
If you want a site built or moved onto any host, including this one, I can handle it so you do not have to touch the technical side.