According to my research there has not been a commercial airliner fatal accident involving FLL in 30 years (DL191) or 41 years in the case of IAD (TW514). In both cases safety improvements were made and following the investigations aircraft were fitted with Windshear detection and GPWS respectively so even those accidents are very unlikely to happen today.
I am not a betting man but I think the odds are very much in your favour that you will reach your destination in one piece!
