What I did was just use my kegging system as normal. Once the beer is carbed up and clear, and the first cloudy pint was gone, I wanted about a week and then "jumped" into a new keg. It's super easy, and it left me with only clear beer in the new keg.
I sanitized the receiving keg, and put some co2 in there and purged. Then, I took a 3 foot beer line, and two black disconnects and connected that together. I hooked up one black QD on the "out" of the new keg, and one end on the old keg. Then, turned the gas on to push the beer from the first beer into the new keg. I pulled the pressure relief valve on the receiving keg a couple of times, to ensure that the pressure was lower in the new keg.
It took less than 10 minutes, and I can now take kegs anywhere without worrying about them getting all stirred up.