Don’t cheap out on web hosting.
Just heard a horror story of a company who decided to change hosts to their new IT guys and it backfired. It’s not best to trust a small business web hosting company who does not handle web hosting primarily. They may have servers that work but they may not have reliable services like Backups, Backup Power, etc.
Websites are important and many use the hosting account to run their emails too. They did in this case and lost them all. I had them on a service that had backups. The hosts I recommend at this point in time is Dreamhost or Hostgator. I prefer Dreamhost for their free SSL certs (using Let’s Encrypt) plus user isolation incase of security incidents on just one of your sites. If you’re used to using cpanel go with hostgator. Neither will give you 100% uptime but they do their best (much like others I didn’t name) to make sure things are fixed quickly.