The other thing I like to add is are you taking lessons? Are your lessons paid for? If not, some of that budgeted money should be put toward lessons. It also gives you someone to ask other questions like these to!
I generally agree with everyone's assessment - except I don't feel it's a bad thing if this is your first kit ever and you don't know a ton about drums to get a mid-level kit from a store. There's at least some level of quality control and service. There is also another level of overselling, but stick with a plan and you're golden. Mid-level kits will hold more resale value if your drumming journey comes to an end - unlike a CB kit perhaps...
I have the Stage Customs myself, and they're great drums and perfect for learning on. You can play/learn/gig on those and sound great. The Mapex kit sounds like a good one too. Try and play them at a good drum store where they'll help explain the differences between each one, the nuances of hardware, etc. Ask these questions too!
That said, I'd ignore all pleas from said GuitarBoxStore to buy a cymbal pack/hardware pack. Individually, these can easily be found on Craigslist/Ebay and be perfect for a lower price. Nothing wrong with getting cymbals at a store, but please please please go for decent hats/ride/crash. No B8/ZBT. You will enjoy playing more, then in turn play longer! But cymbal choice is very personal and some research here, listening at mycymbal.com and playing them at an actual store will help you stretch your dollar to find something that YOU like.
P.s. Buying gear is awesome! It never ends (double edged sword there).