Betsy, you can plant your Amarys in the garden here (or there in Panama City) & leave them year round. They may tend to "sink" in the sand over the years & you might need to lift them up some every few years but no problem leaving them in ground & they will bloom on "Florida time".
I doubt you're going to get more than 1 year out of anything else except daffs & that sort of depends on the particular cultivar. When we lived near Tallahassee, there were miniature daffs (yellow) that had escaped & were growing wild. They came up every year in spring & then the foliage died back & you didn't see them again till spring. Look online at some of the bulb sellers & see what ones do well for the deep south. You can plant them in ground after the frosts begin & leave them year round.
Tulips just will not go more than one year here period. We don't have enough cold & the heat kills them so you have to buy new every year & refrigerate them for a period before planting in the spring.