Welcome to diving!
I would recommend renting for a little while if only so you can get a feel for things like split vs paddle fin, back inflate vs jacket style BCD or maybe Back Plate and Wing (BP/W), plus to make sure it is something you want to do.
You will need to consider the type of diving you want to do. I am guessing you will be diving a lot in or around Florida and the water there is warm and as shallow or deep as you care to go. Where I live (Ohio), we have moderate depth COLD water all year round, so I am set up for more of that. Odds are no matter what you get, you will find something you like better once you have been diving for a while.
The basics are a regulator, BCD, Mask, Fins and, I suppose a snorkle (they are annoying under water).
Regulators, mask and fins are very personal items and everyone has their favorite, as you will likely discover.
My personal reg choice is Atomic, but Apeks, ScubaPro and several others are all good. If you see one you like, just ask here on the forums and see how it is generally received. Again, try them out. I have an Atomic B2, T2x, and several M1s and they all breathe the same (very good). If you plan on diving in colder waters, then the type of reg you choose should take that into consideration, as colder water can cause problems with regulators that are not designed for it. One thing I would NOT recommend is a Integrated Second (the BCD inflator is combined with your backup regulator). I also have an Atomic SS1 Integrated that breathes great, but it is the scuba equivalent of a turn signal/Headlight/Windshield Washer/Radio Control on a car - one thing that does too much.
As for BCD, I just went to a Backplate and Wing (BP/W). I loved my back inflate, but lost weight and had to get a new BCD. I tried out a BP/W and found it was like my old back inflate on steroids - absolutely awesome - so much more freedom of movement, but still helps you maintain a horizontal position in the water. One of the nice things about a BP/W is they are generally not that expensive and they are very accomodating to many body sizes. Don't be intimidated by the whole "BP/W are for tech", because it is no more difficult to use a Back Plate than any other BCD, or at least that is my experience, although I switched from a back-inflate to a Back Plate, so there wasn't as big a difference as coming from a jacket style (which can hold you in a more upright position, or so I've read - I don't know I have never used one).
Fins are highly subjective and the performance you get from them varies from individual kick styles. Since you likely have strong legs, a stiffer fin may be more suitable, but again, it is up to the individual. I prefer a paddle (solid) fin, but I also have a set of splits. Don't bother asking which is better - split or fin - you won't get a definitive answer since what works for one person is horrible for another. Search the forums for that topic and you'll see what I mean. These are really important, though - it is your means of propulsion and need to be ones you are comfortable with.
Unless you plan on spending time snorkling as well as diving, the snorkle is less critical. If you do want to snorkle, then it will be more important. I don't snorkle so I can't really comment on them. I just swapped out my really nice snorkle for a roll up and stow-away one.
Good luck with everything and keep us posted on your diving!
John