Nate, I have found that just a few tools suffice. These are the tools I used to carve this rifle. Simple Kentucky carving doesn't need much in the way of tools. If you like to use a knife, add one to the set.
across bottom:
Pfiel fishtail #3 sweep x 16mm wide; parting tool, Pfiel 16/1, 60 deg 1mm wide; parting tool, 90 deg, 5mm wide; fishtail #3 sweep, 5mm wide.
top row:
palm tool #11 sweep, 4mm wide; then assorted homemade scrapers.
wrist, same tool set
The tendency is to think that buying an expensive set will improve your carving. Only practice will do that, combined with a few of the right tools. The right tool is determined by the kind of carving you are going to do combined with your personal style. By style, I mean this: I outline with a parting tool. Bill Shipman uses a knife. Allen Martin uses a dremel.
Might I add that a long handled tool would be better in place of the palm tool, but this is what I have.
Tom