800/day is 0.009 visitors per second. I think your own PC could handle that with a dialup connection!
Okay, that's a bit of an exaggeration but you need to be in the tens to hundreds per second to require any kind of dedicated service. Of course, your terms and conditions with your host could modify that (CPU usage, bandwidth, etc. restrictions).
If you're looking for a good host (or just good answers - from the front end of the horse, so to speak), contact Matt Russell (he's in here often) at WebHostingBuzz. As an additional benefit, I've just received (as a three-account customer) an 11th birthday announcement with sales on their services as well as "Monday specials" (both Booly and PriceBlink have lots of coupon offers, too) but I don't need that to be a long-term, happy customer! Any problems on any of my three accounts (shared, Joomla and dedi) have been quickly and efficiently handled by their outstanding staff. Enough trumpeting today from a happy client - Happy Birthday, Matt!