Three kinds of sunroom addition
A screened enclosure is a frame with mesh. Outdoor space with the insects kept out. See screen enclosures.
An unconditioned glazed room encloses with glass or vinyl, but nothing heats or cools it. It is pleasant in spring and autumn, and uncomfortable in August. It also does not count toward the conditioned square footage of the home.
A conditioned room is part of the house. It is insulated, on the HVAC, and built to the same envelope and code requirements as any other room. It also counts toward square footage. So it costs substantially more, and you can use it every day of the year.
Choose on how you will use it
If it is a place to sit with coffee in February, the middle option is fine and much cheaper. But a family room needs conditioning. Building it unconditioned to save money produces a room nobody uses for a third of the year.
Glazing and the code
A conditioned room’s glazing is subject to the same hurricane provisions of the Florida Building Code as the rest of the house. A room that is largely glass is largely opening protection, and that is a real line in the budget. See impact windows and doors.