We have limited parking space, too. I keep my enclosed trailer, which always contains at least two motorcycles, at home and store our camper off-site.
I've used an open trailer a couple times, and I would again if that's all I had, but an enclosed unit is sooo much nicer. I use the side walls to secure motorcycle accessories, like windshields and sissy bars. There's shelving in the nose for helmets/gear and the left over floor space is handy for my step ladder, extension cords, heavy-duty floor jack , mechanic's tool box and, occasionally, a scuba bag. All of it stays clean and dry, easily accessible.
Ours is a 6x12 Haulmark I've had for about 12 years and it's rock-solid. It has a round nose with a torsion suspension axle rated at 3,500 pounds and it's registered for 2,980 pounds, avoiding the brake requirement in Virginia. For me, a side door and a roof vent were must-haves. Side vents would be nice, too. I wired the trailer a little for 110 and 12 volt, myself. It's been a terrific tool and I consider it one of my better decisions, but it's just a trailer. Buy used and see if it fits your priorities.
