David,
You have picked out two nice wakizashi, either of which is a better choice than most folks make when they catch the bug. The input you have received urges you to first ask yourself, why you have to make a decision tonight? Could there be an even better choice that you will enjoy more if you take a bit more time? As has been pointed out, there are many nice swords searching for a home. Don't get in a hurry. There is always another train, and another sword. Don't wait forever, but don't rush.
Knowledge is your friend, and it is your best friend as you begin collecting unless you are incredibly lucky to have a true mentor in this area. One exceptional mentor in the Dallas area, Keith Evans, is no longer around. He was was a person of great knowledge and integrity who had the opportunity to study and learn while he lived in Japan in the early sixties. We used to have a small sword study group, but Keith passed away and the other key member returned to Japan to live. I saw there was an Austin based group mentioned, but it does not look as though they are very active.
There are a good many opportunities to examine Japanese swords in the U.S., but they will probably involve some travel. There used to be some sword shows in Dallas and Houston, but no more. Sword offerings at most gun shows are pretty poor unless you are extremely lucky. Get some books, and take the time to travel to one or two shows so you can see and handle different swords. You are more likely to select one that will hold your interest in the long run if you take more time to study.