How do I apply for muniment of title in Texas?

Hello. My mother passed away two years ago, and my father would like to have the title to their house, which they co-owned, transferred into his name only. Everything else was taken care of without going through probate. He doesn’t want to pay a lawyer, so he has asked me to help him apply for muniment of title. This appears to be a very tedious process, especially for Harris County, Texas, where he lives. My father is 90 years old and doesn’t have access to a computer, so there is no way he could do this on his own. But I’m not sure how to go about this either. My questions are: 1) Is it really necessary for him to apply for muniment of title or can he simply present my mother’s death certificate to the County Clerk and have them file it with the original title for the house? 2) Is it reasonable to think that I can undertake applying for muniment of title on his behalf without a lawyer and, if so, what steps would I have to take? Thank you.