i have a 4x8 trailer i use when i haul all my bikes. if you go to buy a trailer, i agree with storysunfolding, those trailers with the rails are pretty sweet

. i've also put them in vans and on pickups. if you have a hitch, i would definitely say first choice is a motorcycle trailer, second choice any trailer. if you don't have a hitch my next best choice would be van, then truck.
as for securing, unless you're hauling an old Indian, tie-down straps should be definitely capable of supporting the bike.
It's an awful idea to lay them down on a trailer or in a van or on the road for that matter

. I find that on the sidestand is the best (on the double stand they roll off if you make a quick stop) just make sure you tie it from four points of contact, and you don't tie to detachable/plastic parts on the bike.
it's generally pretty easy to haul these things. ive never had one fall going over 100 miles with a simple trailer and rope. good luck h