I will say that they were professional throughout the transfer. 

What is the cost to transfer the mortgage/deed to the LLC?

The property has to go in someone’s name and if the deed is transferred they can transfer the due on sale clause.

After the purchase is made, should we consider forming an LLC and transferring the title/deed ownership to the LLC?

“In order to adapt to this new reality, and work towards increasing our student population, the school district now allows students who reside outside of AISD's boundaries to transfer into our schools.”

A transfer to an LLC will trigger the clause and should therefore be avoided, even though banks are hesitant to ever foreclose as long as the note is being paid.

I am looking at starting a company with an initial investment of $50 and the option to deposit as much as you would like at anytime with no minimums and an option for debit/credit card linked account for round up automatic transfers.

We frequently helped clients facilitate real estate transfers (some intra family, but most were arms length).

A transfer to a trust is exempt from due on sale violations since banks will view transfers to a trust as an estate planning tool.

There are ways to transfer property after, but you'll have to consult with a specialist like @Scott Smith .Here are some graphical representations to help you in these decisions/discussions:Asset Protection Onion DiagramAsset Protection Decision Diagram