First of all, you haven't really defined a decent amount of traffic. Where are you bottlenecking? database? bandwidth? cpu? I agree with dangrossman that goi

First of all, you haven't really defined a decent amount of traffic. Where are you bottlenecking? database? bandwidth? cpu? I agree with dangrossman that going from one shared host to another isn't going to go well most likely. Of course, that depends on the bottleneck. I've got a shared host running SSDs, if my bottleneck was disk i/o it might work on that while failing on shared hosts using something slower. If you really are pushing a lot of traffic and having trouble with shared hosting though, it's time to upgrade. VPS/Dedicated/Cloud are the options I would be looking at. Also possibly a CDN depending on what the bottleneck is of course.