You sound like you might be new to this? If that is not the case then you probably already know what I am about to write.
Living on a boat is not like living ashore. Apart from the lack of space there is the lack of amenities.
To be truly comfortable you need a decent bunk. In your price range that will most likely not be very big but it should be accessible and in a dedicated space. Making up the salon every morning and night gets old fast.
How do you plan to shower? A typical head in this size boat is going to be small and you will have to wipe the whole thing down every time you shower. Where will the shower drain? How will you get that water off the boat? How much water capacity is there? You will have to refill it so fewer times is better.
Speaking of heads, a manual boat toilet is not like the one you have at home where, when you are finished, you pull down on a little lever and everything instantly vanishes forever. On a boat you have to pump vigorously for ten or twelve strokes to clear the lines. After that you have to pump out the holding tank when it is full so you need a place that offers that service. In spite of this your head will clog at some point and require disassembly and cleaning. Not fun as you can imagine.
Yes, you can use the marina facilities but that can also get pretty old carrying your stuff back and forth.
Living inside a thin fiberglass hull is not like living in an insulated building. Whatever the climate is outside you will feel inside. Good fans help, AC helps more. Still, it is not the same as living indoors.
Will you be living in a slip? If so you can plug in and run most anything. If not in a slip then you will most likely have DC power and power regeneration has to be addressed.
Will you be going to a job? If so you will need space for job related clothes.
Cooking is no big deal as you will most likely have propane but propane requires some vigilance especially on a boat.
Other than the price of the boat consider the immediate expenses of survey, survey haul, bottom painting, maintenance get ready, etc. Then there is insurance and dockage. Does the marina allow monthly payments or do they want ti all up front?
Can you sail now? If not do you plan to take courses? If so factor that in.
If you are doing this to try out live-aboard then the boat amenities might be more relative at this point.
So, a boat for Florida that you might want to look at is a Pearson 365 Ketch/Sloop built from 1976-1983. They feature a big galley, large head with separate stall shower, nice V-berth, 150 gallons of water in three tanks and 50 gallons of fuel.
Holding tank sizes vary. Some folks have converted one of the water tanks to a 50 gallon holding tank. Also a dedicated nav station.
Good luck. Many of us have done it.