In some trusts nobody has the power to sell property in the trust; as per example a remainder charitable trust where the property has already been transferred to a charity after the beneficiary passes. 

I would definitely make the offer subject to the AC unit transferring with the house. 

When you transfer it to a LLC, that triggers that clause.

I need to tranfer that property to another LLC name and going forward it will file taxes under that name.How does the transfer work?

I typically request payment in the form of Cashiers Check or Wire Transfer.

You would be surprised how many there are, however, typically, listings that are in one, do transfer over to other ones, as long as that MLS isn't exclusive.

Of course, there is "red tape" but it can be done.

Fast forward, 2 months later of patiently waiting, with zero notice, that tenant did a midnight dash and taped the key on the door.  

I believe they are paying market rent and have the option to terminate or extend upon transfer of ownership. 

We are the owners, but we go through a Property Management company who are technically the host.We are trying to work out the Pros and Cons of transferring the property into an LLC for liability toward personal assets.