Contact a local attorney, some jurisdictions allow the landlord in your possession to have a lien on the property, I am not sure about Florida. Even if the lien is allowed, you may have to jump through a hoop or two to sell them.
Every legal matter is fact specific, and there are often nuances in every case. This is intended for comment only, and does not create an attorney client relationship.
Putting a lien on the items is usually not worth your time or money. Put the stuff on the curb now. If it is still there 24 hours later, then throw away. make sure you are in compliance with the neighborhood / community rules so you don't get cited for garbage on the curb. Since a writ of possession was issued, you have no liability for the stuff left behind.
The disposition of the tenant’s personal property is governed by Chapter 715, Florida Statutes; specifically, sections 715.04-715.111. These sections provide comprehensive rules for notification to the former tenant or other owner of such personal property, based on the value of the personal property left behind, as well as the release, storage, sale and other disposition of such personal property. Alternatively, section 83.67(5), Florida Statutes provides:
If provided in the rental agreement or a written agreement separate from the rental agreement, upon surrender or abandonment by the tenant, the landlord is not required to comply with s. 715.104 and is not liable or responsible for storage or disposition of the tenant’s personal property; if provided in the rental agreement, there must be printed or clearly stamped on such rental agreement a legend in substantially the following form:
BY SIGNING THIS RENTAL AGREEMENT, THE TENANT AGREES THAT UPON SURRENDER, ABANDONMENT, OR RECOVERY OF POSSESSION OF THE DWELLING UNIT DUE TO THE DEATH OF THE LAST REMAINING TENANT, AS PROVIDED BY CHAPTER 83, FLORIDA STATUTES, THE LANDLORD SHALL NOT BE LIABLE OR RESPONSIBLE FOR STORAGE OR DISPOSITION OF THE TENANT’S PERSONAL PROPERTY.