@Tim W., as @Brian Adams indicated, you should ask the lender whether it will require you to have a Delaware LLC. Depending on the loan amount and what the lender plans on doing with the loan afterwards, the lender may require you to have a single-member Delaware LLC. Assuming you do not need a Delaware LLC, then form an Ohio LLC and pay $800 to get qualified to do business in California. You do not want a California LLC. The California LLC laws have a lot of issues that you would rather not deal with if you can avoid it.
Also, as a corporate attorney, I have come across many situations where people have tried to use legal zoom to form an LLC. In even the simplest cases, it is a massive mistake, and I could give many examples of significant issues it has created for the person who used legal zoom. Given that I am not looking for your business here, I can objectively say that I would strongly recommend that you find an attorney to form your LLC. If you find a good attorney, he or she will have a form single-member LLC Agreement that requires almost no changes to it and will cost you almost the same amount as legal zoom, but, if for some reason you have special needs of which you are unaware, the attorney will be able to identify and address them in a way that legal zoom cannot do.
As an attorney admitted in Delaware and who has given many legal opinions for lenders in real estate transactions, I have never seen or heard of someone using legal zoom for a real estate transaction of any significant size.