@Kate Jones First off, this is not a stupid question! You legally can move the title for the property into an LLC. That being said, the debt will stay in your name and therefore on your credit. You are also risking the due on sale clause being called if you transfer the title to an LLC. Freddie Mac loans allow this in specific situation where the due on sale clause will not be triggered.
https://guide.freddiemac.com/a...
That being said, I think you can still on transfer the title and not the mortgage.
As I understand it, the only way to remove a spouse, co owner, old owner, yourself, etc. from a mortgage is to pay off the whole old mortgage with a new mortgage that is in the name of the entity you want to hold the debt(and has title).
You are allowed to have multiple mortgages though, I have four and am about to have a fifth. Your DTI just needs to be able to support them. That being said, depending on the lender, about 75% of the rent from the properties can be given back to you to help your DTI.
You might be able to do a "subject to" loan take over from yourself to an LLC you own, but I bet this get's really messy really fast. If you google "due on sale clause" and "subject to mortgage takeover" it will help you get a better understanding of the subject.
One thing to also know is that while "due on sale clauses" do actually get exercised, it is relatively uncommon. Most things you will find on the internet will make them sound very scary, and if they get executed, and you do not have cash/ cannot refi, you could be foreclosed on, that being said, people need to determine what level of risk they are willing to accept.