OP is in Texas and Texas does not have any of that 10k trailer nonsense. As long as his combined truck and trailer rating is under 26k he does not need to worry about a CDL. Other states are different I know.
I would get a 14k trailer with two 7,000lb axles and at least a 20'. It is very rare to hear someone say they bought a trailer too big or rated too heavy. You never know what you will need to haul someday and having a trailer rated significantly higher than the load puts much less stress on the axles, bearings, tires, etc. Trailers loaded near their max capacity have things fail more frequently than trailers with a lot of margin left.
We had a 12k rated trailer with two 6,000 axles. it had 15" wheels. It was loaded to around 11,800 if I recall correctly. It was always blowing tires in the summer heat which I attribute to the tires being loaded at near max capacity. Now we carry the same load on a 14k rated trailer with heavier larger tires and we haven't had a blowout in years.
An extra 4-5' on a trailer isn't a big deal in maneuvering it and the cost isn't a huge difference if you look at it over the time you plan to own the trailer.