I assume you are thinking of the small municipal floating dock adjacent to the park and pool in Green Cove Springs.
I have been there a couple of times with our sailing club. It has a special charm. I believe dockage is free but you must pay $5 or $6 dollars for the available 30amp service. No help docking but very little current. You must walk up to the Police station to check in and pay. Beer and chicken wings very near.
You have not shared details of your new ride but I don't think their 6 or 7 slips can handle over 11 or 12 foot beam or 5 foot draft.