How long does it take to get to Bulgaria from Florida Tampa in the US?

Answer 1

Flight duration / Fares vary with departure days/dates/airlines.
A random search shows:
OPTION 1:

JFK - DUB Aer Lingus Flt 108 Dep 09:40pm 01Jun,Mon
DUB - SOF Aer Lingus Flt 374 Dep 03:15pm 02Jun,Tue

Flight Duration: 10hr 15min; Layover Time: 6hr 0min; Total Trip Time: 16hr 15min
1-way Economy fare $ 403 + Taxes & Fees $ 105 = Total $ 508

OPTION 2:

JFK - ZRH Swiss Intnl Airlines Flt 0015 Dep 08:50pm 01Jun,Mon
ZRH - SOF Swiss Intnl Airlines Flt 1860 Dep 01:00pm 02Jun,Tue
Flight Duration: 12hr 20min; Layover Time: 2hr 5min; Total Trip Time: 14hr 25min
1-way Economy fare $ 407 + Taxes & Fees $ 172 = Total $ 579

Answer 2

Florida- Chicago or New York - Sofia 12 hours if at transition not stayed more than 1 hour