Yes, Florida is a state that assesses taxes as part of the monthly lease payment. If you assume the lease, you will be assuming the base monthly payment (before taxes) and have your local sales tax added to your base payment to determine your total monthly lease payment.
If the lease seller has the same tax treatment (sometimes sales/use tax varies by county), then you will assume the same total monthly payment.
You might ask the seller what their sales tax is in their area to quickly assess if the rate will be the same for you.
I hope that helps!
Matt
LeaseTrade.com Support
http://www.leasetrade.com/Customer Service: 800-919-9719