Need to find a new host (shared hosting)

I'm looking to move away from my current Host.
Currently I'm paying $10US/mo for the following:
20gb disk space
600gb bandwidth/mo
I'd like to find a shared host for a similar price with established fast and helpful support who isn't susceptible to the IP blocking issues and downtime is. My current web host's support used to be great but is now largely useless.
Backup services would be great, too, if possible.

 

Before choosing a web host check if they offer flexibility of upgrading to a higher hosting package, just in case you run out of the allocated resources.
Try and check their response time, also if they have a live chat service then get things cleared with them.

 

Beyond finding which web hosts are out there, it's a matter of digging through different plans and checking customer reviews.