I've done that! Heck, I went 800 miles with 2 kegs. I have a couple of tips. One is something I did just today. Carb your kegs and chill as usual. After they're carbed up, dump the first pint which is full of sediment. When you're ready to take them, get a couple of empty kegs and sanitize them and then "jump" the beer to the new keg. That works because you already have the sediment settled out to the bottom of the first keg, and if you don't move that keg, you will have clear beer to put into a new keg and relatively little sediment. After that, you can jostle them around quite a bit without an issue.
How to jump: Get two black quick disconnects and a length of beer line and attach. Put some co2 into the "new" keg, and purge. Set the original keg to about 2-4 psi, to push the beer. Put a QD on the "out" of the original keg, and then one on the "out" of the new keg. Every once in a while, pull the pressure relief valve on the receiving keg as it fills. You can "top off" with a shot of co2 to ensure the lid is sealed, and that's it! You get a sediment free keg, already carbed and conditioned and ready to go.
I did it just today, to take a 3 gallon keg out to my lake cottage. It's fast, easy, and very little sediment will get stirred up when you move that second keg since the sediment in the first keg doesn't get agitated.