Selling share of property under an LLC to another investor

[Carlos Rodriguez]

I have a mortgaged, single family property in Austin, TX under an LLC that is owned and managed 50/50 by myself an another partner. My partner wants to exit the property/LLC and I have a new partner lined up to take their share. All parties have settled on the price. Now I need help executing the transaction.

Should I set up a new LLC with the new partner, deed the property to the new LLC, and dissolve the current LLC?

Should I remove the current partner in the current LLC and add the new partner to the current LLC?

Is there a special sales contract that is used for this kind of transaction?

Are there any other courses of action I'm not thinking of?

Aside from mortgage and tax filing implications, what other considerations should I be thinking of?

Thanks in advance for the guidance!