I've been transitioning to growing outdoors, but here's how I would do it if I had a lot of S/H plants indoors in a semi-permanent location.
First, I would attach these push-connect bulkhead fittings to each S/H pot along a bench (
Bulkhead Union | Acetal Gray | OD Tube Fittings | John Guest). These connect to a 1/4" or 1/2" flexible PVC pipe, but the advantage is there's a locking mechanism that makes it very easy to remove, in case you want to move pots around.
So the PVC pipes would all go down to a larger drain pipe that runs horizontally, but slanted down a bit along the bench, one size larger than whatever the size of the feeder pipes are. So if you use 1/4" pipes from each pot, they all connect to a 1/2" pipe that runs down to a bucket or rubbermaid, which could be dumped as needed.