IMNSHO...Most important....
go to a full service shop that can set up up right, particularly if you get a compound. I have 2 recurves and a custom longbow, but I'd suggest a mid priced compound to start.
If you have plenty to spend, a Matthews is top-o-the-line. Lotsa bucks if it turns out to be the wrong one or wrong sport for you. Used bows are worth virtually nothing.
Personally, I'd start with a Bear. I have a real hard-core hunter friend that just got one. Very fast, very smooth, and very, very quiet.
Most guys get too much draw weight. My friend works in an archery dept. of the local shop. Has shot over a dozen deer with 55# draw weight.
Use open on impact broadheads. Makes tuning a breeze.
Join a league and shoot a lot..........no, A LOT
I found a Jennings Airspeed on sale. $569 bow for $200. Deals are out there just like guns.