I was checking on a car rental for January, and difference locations were different prices.
If you're looking at Enterprise, for instance, check out the Ave. Isla Verde, Carolina location. It was almost $70 cheaper for the week. The off-airport locations close earlier, so that might be a drawback.
I like to use carrentals.com but they don't show you every location for each company so make sure to check the company website as well.
My best tip is to book early with no deposit, if you can, and keep checking for a better deal or a discount code.