I'm new to gardening, so please bear with me here.

I'm really interested in planting strawberries, sunflowers, radishes, and maybe tomatoes this year. I've read that strawberries and sunflowers do great here(zone 9, central florida)- there's even a huge strawberry plantation nearby, but I have no idea which varieties they are. Does it matter that much?
I'm really looking for something that will grow fairly quickly, and not be too hard for a beginner.
Last year I purchased a baggie of "sunflower mammoth" which I never even opened. Would these be good around here? What about strawberries and radishes? Is there a specific type to look for?