Can I sign a quitclaim deed instead of warranty deed?

I was married to my husband in 2006 and he owned our home before our marriage. For personal reasons we never put my name in the title or the deed or the mortgage. My husband also took homestead exemptions and we live in Florida. Now its time to sell the house and the title company wants me to sign a warranty deed since homestead exemption requires a spouse to sign the deed. Can I sign a quitclaim deed instead? If I do end up signing the warranty deed, will my name also show up on the HUD statement?

Any help will be appreciated.

Thank you