I went through the Texas license process in 2014. I had to take a four-hour class, which covered gun safety, Texas gun laws, and when not to shoot. It was followed by an easy written test. It also included an easy 50-round shooting test. If you could hit paper on a 24"x45" B27 target at 3, 7, and 15 yards, you passed. The instructor submitted my scores to the Department of Public Safety, and I then applied for my license online. I also had to be fingerprinted, and those were submitted to DPS electronically. I can't remember what all the fees were, but they were around $100-150 in total.
A couple of weeks after my fingerprints were submitted, I got a letter from DPS. Unfortunately it did not contain my license, but a notice that my application had been rejected because my fingerprints were unreadable. I went to a different fingerprint place and re-submitted them. A week or so later, I got another letter from DPS. Again, no license, but another rejection because of unreadable fingerprints. Apparently I have no fingerprints.

Rather than try a third time, I called DPS to ask what a fingerprintless applicant could do. I immediately got through to a very cheerful and pleasant young woman who told me to wait a second while she reviewed my application. She returned to the phone and said, "Your license is in the mail." Say what?!! I had to ask her to repeat herself, and she assured me that I had been approved. A couple of days later, I had my license in hand. Total time involved, even with the fingerprint snafu, was about six weeks.
I guess fingerprints are optional in Texas, because Texas
wants you to be licensed. Currently over 1.6 million Texans have Licenses to Carry. I'm surprised that the state hasn't yet come up with a "recruiting" poster with Uncle Sam (Houston) pointing at you, saying, "I WANT YOU to get a License to Carry". The soon-to-be-enacted constitutional carry law will take all the suspense (and fun) out of it.