There are no changes to actually brewing your beer. Read How to Brew (available free online) to learn all the basics you will need for making your first beer. Pick up any equipment starter kit, Austin Home Brew and Northern Brewer both have good ones at reasonable prices, and a stock pot that can hold at least 20 qts.
Where your warm climate will affect you is during fermentation, there are several methods for maintaining temps in the 60-70 degree range (needed for ales):
1. Wet T-Shirt: Simply soak a t-shirt or towel in cold water and wrap it around your fermenter, re-wet as needed. For increased cooling, point a floor fan at the wrapped fermenter.
2. Swamp Bucket: Get a large cooler (Igloo Ice Cube works well), put your fermenter inside, and fill with either bottles of ice or an ice water bath (you can also do this in your bathtub but then you can't use your bathtub during fermentation). For best results make a new lid out of polystyrene insulation.
3. Make a fermentation chiller: Do a google search for son of a chiller to get a PDF with instructions on how to do this.
4. Chest Freezer: Purchase a chest freezer large enough to hold your fementer and a temperature controller. Use this to maintain constant temps.
These methods are listed in order of price/complexity. For your first brew I recommend the wet t-shirt/towel method. Then, once you become an addict like us, you can choose whichever of the other 3 methods most suits you; personally I use the swamp bucket with bottles of ice, I am able to maintain lagering temps when the ambient air is 80 degrees by swapping out the bottles once a day.
Good luck with your brewing and welcome to HBT!