Is there a Tax Benefit to having Mortgage interest all on rental property ?

[Chad R.]

I am in the process of moving to FL where I have 2 short term rentals. both with mortgages on and the new Primary will also have a mortgage. Is there a tax advantage if I do a cash out refinance of one of the rentals and buy the primary out right?

I like the idea of owning our primary outright, but doesn't that Mortgage interest on the primary get deducted anyway?

Thanks in Advance