I am not an atty, but my wife is and she says these will not hold up under Texas statues...Take it for what it's worth.
I'm an attorney and I'll say this: If you don't have a big estate, getting a lawyer to properly draft you a will is sufficiently cheap to make sure it is done right. If you do have a big estate, getting a lawyer to properly draft you a will is sufficiently crucial to not rely on legalzoom and their non-specialized forms. My experience has been that if you go cheap now, your heirs will pay for it later in taking additional steps to probate the will.
No teling how many times I have seen litigation and $30,000 or more spent by each side, simply because of an ambiguity in these cheapo wills. Many of the wills cost in other ways. For example, in Texas you can have independent administration, if specified in the will, saving probate costs. Most wills drafted out-of-state don't have that. Same for waiving of bond.
Isn't a simply hand written will signed by husband and wife and a third party valid in Texas? Or just a handwritten, signed and dated will period?
It doesn't even have to be signed by anybody other than the dead person to be valid. That's not the point. The point is how much trouble it is to prove it's valid and how much court supervision of the estate will be necessary. By saying who will administer the estate and that they can do it without the judge overseeing every little thing it saves a ton of time and money. If you get the right signature language and have three people witness it, it "proves itself." Before someone nitpicks that explanation I will state that it's a simplification and not intended to be perfect or all-inclusive of reasons why the will you describe may be valid, but also be a huge pain in the ***.