Transfer LLC from NJ to FL

[Dawn Peterson]

I have an LLC for my rental property in NJ but i moved to FL a year ago. Should i transfer the LLC to form NJ to FL. The name of the LLC is not available in FL so I cant get a foreign entity with the same name. It would have to be a new name. Do I have to let my insurance know this new name as DBA to be sure no loss in liability coverage if under a different name?