Option 2 is a tax event.

	Title	Mortgage	Insurance
Current	LLC	You	LLC
Option 1	LLC	You -> LLC Assumption of Mortgage	LLC
Option 2   (not recommend)	LLC->You   This is a tax event, trigger capital gain and tax reporting.	You	LLC -> You
Option 3	LLC	You	LLC -> You   Can you do this? All mortgage cares is being protected.

 

#2 is problematic because it is a tax event (transfer of control from LLC to A, when LLC is owned by unrelated people).  This triggers capital gain issue.  Because the control of the property is changed, this is  would trigger due-on-sale unless bank allows you to assume the old mortgage as well. 

I would suggest #1, assuming mortgage is not a tax event.