Sorry to hear about your dad. He sounds like a character.
As a side note, oral wills are no longer recognized in Texas. Of course, once things are transferred through whatever probate procedure you use, you can do whatever you want to do with the property. It is nice to see someone who wants to honor their parents wishes. Too often that is not the case.
You have some good answers here. Since you commented regarding the cheapest options, I figured I would add a little info.
When there is no will the cheapest option is just to file an affidavit of heirship in the county where the property is located and then execute a deed. I generally advise against this because an affidavit of heirship really doesn't transfer the property. It just provides the missing link in the chain of title and sets forth the heirs of the decedent Further, the affidavit has to be recorded for five years before it is presumed true, so in that period of time someone could challenge the affidavit and deed (a long lost child, girlfriend claiming to be common law wife, etc.). I just don't think the savings are worth the risks.
The next cheapest is a small estate affidavit. The requirements are: 1. no will, 2. no petition for probate is pending, 3. it has been 30 days since the date of death, 4. the value is not greater than $50,000 (excluding homestead and exempt property), 5. two disinterested witnesses sign the affidavit, as well as the heirs. If you qualify, this option is pretty simple.
The most costly option would be a determination of heirship and application for appointment of administrator. You might want to use this option if there are other assets out there such as bank accounts that were not joint, stocks, etc.
Most attorneys give a free consultation, so it is worth having an attorney look things over and give you a recommendation.
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You will need to contact a lawyer who can explain the various options, but it is likely that you will need to file an application to declare heirship and depending on facts may or may not need to open administration on the estate.
I wish I had the opportunity to meet your father. As a "redneck" raised in North Florida myself, he sounds like he was a lot of fun.
In any event, you will wish to contact an experienced Texas estate attorney to walk you through the proper court process so that you can follow your father's wishes with respect to the land. Good luck to you.
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The other answers are correct and I just add: it isn't scary or too expensive.
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