Let me start with the assumption that Floridians love their peppers, tomatoes, and eggplant. And with some care, these vegetables could be grown practically non-stop throughout the year. I usually plant a few of these in containers to keep growing throughout the winter, as well as keeping some peppers and tomatoes in my
cheap green house, that served me well for two seasons now. Granted, it does not protect the plants from freezing on its own, but with the addition of a heat lamp and a space heater, it keeps my tomatoes, eggplant and peppers fruiting all winter.
Being an un-trusting individual, I still keep a few containers of these warm weather vegetables aside from the green house, and bring them inside on frost nights.
A combination of a green house and containers keeps my family in tomatoes and peppers all winter long. The yields are reduced, compared to spring or fall, restricted by the number of containers and green house space.
But let's go back to planting, or should I say planning. First two weeks of January are a must seeding time for peppers. They take about four months to start fruiting, so we need to seed them now. The problem is, the temperature inside the house is about 65 to 70 degrees in January, at least here, in Central Florida. Peppers need at a minimum of 75 to preferably 85 degrees soil temperature to germinate. The top of the refrigerator and water heater, a familiar advise, do not produce enough heat to germinate peppers. You could purchase a seedling mat and be well served by that. I use a "free" solution, a crock pot. In my crock pot, on WARM, two minutes bring the temperature to 90 degrees. That's all we need - turn the crock pot on warm, for about two minutes, twice per day, then wrap it with a baby blankets or towels, to keep it warm.
Peppers should germinate within 7 to 10 days this way. Immediately after germinating, put them under the light - in the green house, on the window sill, under the grow lights - wherever you have the space to keep them reasonably warm and in full sun.
Last two weeks of January we should use the same process to germinate tomatoes and eggplant.
Outside of these, you can still seed greens, such as lettuce and herbs, as well as radish, all throughout the winter, until late March.