Me personally, I have:
(1) an Asics duffel bag with like 5 shirts, 3 singlets, 5 pairs of shorts, three pairs of asics pants , two asics hoodies, a couple long sleeve shirts and 7 pairs of socks. I keep them all the same place. If I use something and put it in the laundry, I put it right back.
(2) Trainers that go in an asics shoe bag and in the front pocket I keeps shoe deodorant so it's right there.
But I could see the use case for an entire dresser devoted to running clothes or an entire closet or shelf even.
Let me know!