Hello ramoniqua t scott, you will have to call each available rental to check on pet policy and deposits. You should study RENT vs BUY listings to compare payments if you are going to be stationed in GA.
If you figure out what cities, zip codes you are considering, minimum number of bedrooms and the maximum payment/price you are looking to afford you can be emailed listings to fit your search criteria.
You need to check the pet policy and pick the ones that accept cats and dogs. I found 1bd 1ba apts at Providence Place apts from $475 and Georgian Place from $549 and single family homes start from $565 for 2bd 1ba pets ok. The purchase start from 10k to 20k for single family homes in Augusta although we do not do loans that low.
The lender link below will have zero down VA or CalVet home loans in GA and you can buy with minimal out of pocket expenses less than first, last and security deposits. Check out the web reference link below or the apts names I listed...