I need to take better pics, sorry about these. Basically I made a CPVC manifold that connects to all six faucet spouts and drains into a bucket through a pair of 1/2" lines.
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At the other end is the pump driving a line to an 8-port ball lock manifold - the pump line snaps onto one end post with a QD and the six liquid beer line QDs snap onto the long side (the eighth port has a gas post, more on that later).
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I start with the pump in a couple gallons of warm fresh water in one bucket and the drain in an empty catch bucket, run the water through, then dump the catch bucket.
Then I mix up a warm gallon of either BLC or LLC, whichever I have on hand, put the drain in the same bucket with the pump, and recirculate that for ~20 minutes while I wander off and do something else.
Come back, dump the BLC/LLC mix, fill the pump bucket with a few gallons of warmish fresh water, and pump it all through to the catch bucket.
I used to snap a gas QD on the manifold gas post to
gently push the remaining water out of the lines but decided not it to risk damaging the six SF800 flow meters in those lines (retail replacement cost ~$400 for the lot!). So I just reconnect the kegs and use beer to push out the water.
The system is very quickly set up and taken down, so the whole process takes roughly a half hour, not too much of a burden. After a couple of weeks passes, when the next keg kicks I'll usually clean all the lines again in one shot, and clean the kicked keg while the recirc is going...
Cheers!