If wanting to go enclosed, I highly suggest a 20 footer. Install "E" track, and get the appropriate tie downs for same. As far as brands go, that would depend on your budget. Trailex, Featherlite, ATC, Haulmark are the top rated. You will want a car trailer, and not a cargo trailer, as the specs of each build is different. See the attached url:
https://cargotrailerguide.com/trailer-brands
Bill S.