Short of inventing a personal force field emitter device Ala Star Trek, your model will be dinged. The more models you transport to the field the higher the ding factor. People have backed cars over their models, closed car doors on wings, had pets trample them in the back seat, had them sucked out of the back seat of their convertible, had pens, screwdrivers and other implements of destruction fall out of pockets and trough wings, wacked them into doorways, tripped over their flying lines and tore something off, and all sorts of other abuse. The best bet is to #1. Take your time, no need to rush about, #2. Be aware of your surroundings, #3. Secure any loose items (That includes pets). Follow these three suggestions and you have the battle mostly won.