TexasCHLforum.com

jmoney wrote:how would I make sure that the serial on the gun comes back to the new owner instead of myself

You don't.
But as I said before, there is no gun registration in Texas, so you do not "transfer" the serial # to anyone or any entity.
At best, if you want something to show "I sold this weapon", you can make a "Bill of sale"
On this, you would put
Date of Sale
Transferred From (you)
Transferred To (buyer)
Address, City, State Zip
Item transferred
Serial #(s)
Cost

jmoney wrote: if someone can walk me through on how to properly transfer the firearm to its new owner,

Since there is no gun registration in Texas, the proper way is simple. Get the money, give them the weapon.

You can ask for a bill of sale or to see ID, but there really isn't any reason for it.