You should really consider getting a 22 in like version so that you can spend lots of time on the range without breaking the budget - - - put 200-300 rounds thru the 22 and finish with 1 or 2 mags thru the 45
Been there done that!
If you watch yourself you can come up with both still under $1,000.00
I don't own one yet because I lack the funds, but with your budget I would suggest a 1911. Ruger makes a really nice new 1911 that I want badly. They are a little hard to find because they came out last year and are slow on production.
Kimbers are pretty nice too but I feel they are a little over price compared to what you get with a Colt. Good luck with whatever you choose. Be safe and have fun.