Hi Jan,
Welcome to the forum!
In South FL, you can probably grow tomatoes outdoors year round. in fact any day neutral or short day plant should be fine provided they can tolerate the summer heat. (i.e. spinach will have problems in south FL)
Though a native of the area, I haven't lived in florida in years, but with the massive population in that area, I feel certain there is a nearby hydroponics store. go to anywho.com and type in hydroponics and boca raton, fl and then search. on the next screen you can choose to display stores by distance. that's the easiest way to find who's close to you.
I personally used General Hydroponics 3 part 'flora' series nutrients with never a complaint. though others will suggest other things. buy yourself one quart of each part and you'll have several seasons to experiment so long as you don't grow too large too fast. when you decide to expand, you'll want to contact southernAG to buy commercial quantities of hydroponic fertilizer.
I recomment you start by growing tomatoes in deep water culture (DWC)
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this is a DWC system I am currently using to grow 2 tomato plants in my office window.
the system is inexpensive and rarely fails. the most expensive part is the $20 air pump, or in you case it'll be the nutrients.

Thank you Grizzman for all your tips, I really appreciate that. You're absolutely right about that massive population in Florida. I live here since 2004 (before in Minnesota) and have enough of Sun all year round:)) Anyway, thank again for you input and I will definitively follow your guide.
Now, those tomatoes that you have in your office look so healthy and wish you all the best. Once you have them ready don't forget to send me some to taste:)
Have a great day.
Jan