My recommendation is that you go to Bass Pro or any shop in your area and check out the different bows. We are all different, and what works for me may not be a good fit for you. As with most things, you pretty much get what you pay for.
There is no magic figure on fps. Folks have been shooting deer and hogs for years with longbows putting out arrows at less than 200 fps. Get a good bow, quality arrows and good broadheads. Put the shot in the right place, and you should have a dead animal.
I personally shot a recurve crossbow as that fit my needs and style best. Your needs and wants may be different.