Read "Bows On The Little Delta" by Glenn St Charles. He was buddy's with Fred Bear and they were the grandfathers of modern archery. Not sure it will make you a better hunter, but it is a wonderful read with stories about both of them.
Since so much has been covered well here I will toss this out there.
I switched from a 'facial anchor point' to an 'Anchor Point' sight, and never regretted it. Once you set it, you glance up at it and verify the bow is in the proper position, so 'out of position' shots were much easier to do accurately. It works like a peep sight basically, except you do not look through it, and it is not attached to the string.
There are MANY good used compounds and bows in general out there. I would suggest hitting some shops to check for used bows. Most 'should' have a range on site and will let you shoot to try it out.
Keep your shooting range short until you get a bunch of shooting under your belt. Get good arrows. I had 'play' arrows, that were cheaper for 'plinking', and hunting arrows that were high quality.
Try using fingers, even on a compound, depending on the length. While a release can be nice, there were times I did not like having more crap to deal with, and preferred fingers. There are rubbers you can put on the string to make it roll off easier, and eliminate using a shooting glove.
If you use the same arrow for both hunting and target/practice, get field points that are the same weight as the broadheads to practice with, then switch and shoot a few broadheads to verify the accuracy stays the same before you hit the field.
Get as big a target as you can afford, and comfortably store/get it out to shoot.
There will ALWAYS be someone that insists you need a 'high power' bow. Ignore them. Shoot what you are accurate, comfortable with and enjoy shooting. That in itself will make you want to get it out more.
Have fun!
Addendum:
Try bowfishing if you get a chance. It is, addictive. Different animal than regular bow shooting, but crazy fun.
