Well, grips are supposed to last you at least a couple years, unless you want to spend more $$$ each time you move up. I think the "different tiers" of dowel grips, is sort of like this:
-Thick grips often with
two pieces of leather joined together. They're supposedly more rigid (doesn't over stretch and become distorted from all the swinging) and offer more protection.

Kind of confused...These are used with higher levels.
-"Regular" grips. Having a hard time trying to describe.
-"Beginner" dowel grips. They're more narrow and they feel kind of thinner too (could just be me. I'm kind of biased and thought they're thinner hence the name when I tried on a pair

).
@20gymnast13, if you are worried about the breaking in time, wait 'till off season. Your coaches might not let you compete with the grips just right now yet anyways (My coach says sometimes you need to "re-learn" skills with grips on...

). Getting the easy-swing ones seem like a better idea since the leather won't be as rigid and will be easier to get used to (just common sense). But remember, $10 isn't really that much big of a difference price wise, since grips get used for a while. Maybe consult your coach again. Good luck!!