Good luck to you, Txn.
The best place to start is google your area for an archery range. Often times they will also rent you gear there as well.
That's where you will find the best of the best too, because good archers must practice practice practice.
Once you have tried out a few different bows, then google an archery shop in your area, and see what they sell. The best archery shops also have a 20 yard indoor range, so you can try the equipment out first.
These days, surprisingly to me, many new archers start-out with a compound bow. Once someone sets this up for you, it is easy to shoot, compared with a recurve bow or a longbow.
I have found that I enjoy a recurve better, although a compound is more practical for hunting. Thus I spend virtually all my time on the range with my recurve bow, but then I will switch over to my compound bow just before the season opens. That's rather unusual though. Most archers are dedicated to either a compound bow or a recurve bow or a longbow.
If you are a patient person, and you want to do this right, then start out with a recurve bow, without a sight on it, and learn to shoot from an instructor with board certified credentials. Then add a sight to your recurve. Then add a compound bow to your inventory. Don't worry though; not everyone is that dedicated.
Whatever floats your boat. There are a thousand ways to skin a cat. Etc.