Plenty of growers of Hipps like myself let the bulbs do what they want as far as dormancy, and reblooming schedules. The industry has decided we all want them blooming for Christmas, so they take special effort to force bulbs that we buy to that schedule.
In my area, they can't stay outside in winter, so a winter dormancy is actually for my convenience, in a way. It's easier to store them inside as dormant bulbs in their pots, than as a houseplants needing light, warmth and water. I'm of the opinion the bulbs probably don't require dormancy, but are well adapted to it. Mine spend the summer outdoors, then as late summer approaches I let them dry a bit. If they decide to go dormant, and most do, I store them in an unheated dark basement room until they 'wake up.' If they decide not to go dormant, as some do, I'll treat them as house plants, resume watering, and they bloom (or not) as they want.
Your bulbs will need all the light you can give them now, and mild fertilizer through the summer, as now they are rebuilding the strength for future blooms. If you move them outdoors, remember to harden them off as they aren't accustomed to full summer sun and wind yet.
[***Edit: "all the light you can give" means indoors! Outdoors, mine get a little sunburned in full sun, so others in Florida should advise you on light requirements outdoors in Florida summer sunshine.]
In your area, you might have the option of leaving them outside all year- perhaps keeping them in large pots or in a garden bed. I'll let others discuss that.