Your financial advisor is typical - they just want control of your money so they can make money from it. Your mortgage free property does not make money for your advisor. Yes interest rates are low, but guaranteed returns on your invested money are also low, even lower.
Very well said concerning taking a mortgage on your already paid off property. In my opinion do not do it.
From DaveRamsey.com:
Let me help you with the mathematics on this. Let’s use an example. Let’s say you have a $200,000 mortgage at 5% interest. If this is your personal residence and you do itemize—by the way, only 27% of Americans who file taxes itemize—you can write off the interest portion of your payment on your personal residence. If you have a $200,000 mortgage at 5%, that would be $10,000. We have a $10,000 tax write-off because we have a $200,000 mortgage at 5%. That’s a tax deduction, meaning if that couple makes $75,000 a year and they take a $10,000 tax deduction, they don’t pay taxes on $75,000. They instead pay taxes on $65,000. If you do this weird Dave Ramsey thing, though, and you pay off the house, you no longer pay taxes on $65,000 because you would not have a tax deduction. You’d have to pay taxes on $75,000. You’re in a 25% tax bracket if you make $75,000 a year. That $10,000 a year that we’re talking about is taxed at 25%. By paying off your home, 25% of that $10,000 that you’re going to have to pay extra taxes on is $2,500.
In essence, you lost a $2,500 savings on your tax bill, but you gained $10,000 by not having to pay it (interest) to the bank.