SO MANY OPTIONS! Seriously, there must be hundreds of variations of rigs from simple to crazy for drift fishing. And I'm no genius walleye guy, but I think I can add a bit of value for this topic.
Do yourself a big favor, especially if you don't want to buy rigs. Learn two knots: DROPPER LOOP and SNELL
I like fluorocarbon leader and I always have some in my tackle kit, so here's the rig I'd tie for a simple drift. Three foot of leader, tie a surgeon's loop at the bottom. That's for your sinker (bank, bell). About a foot above that tie a small dropper loop. That's to attach your hook, or say a crawler harness (spinner and a couple snelled hooks). Tie a swivel to the other end and attach to your line. Drop this straight down until it hits bottom, let out a bit of line and drift away.
That is a basic rig that can be anything from a 4 loop/hook bottom rig (I tie a bunch of those every time I take a deep sea charter) to a two or three hook crappie rig, a one hook catfish rig, etc. You can switch it up a bit like this:
Snell a #4 or #2 octopus hook (I love the trokar brand, SO sharp) onto your line, or a leader. About 18" from the hook tie a dropper loop. That's for your sinker. That will stay a bit more on the bottom, and that's the rig (with a bit bigger hook) I use for channel cats. Nose hooked minnow, shiner, chub for walleye. Tail hook a small perch or bluegill if you are sitting for cats (as long as you aren't in a lake that has minimum size for panfish!).
You can go super simple and tie a crawler harness (or whatever) straight to your line and then put 2 or 3 big splitshots a foot or two in front. I don't favor this method for drifting, but a lot of guys use it. Or those lead with rubber core sinkers that go inline (don't care for those either).
Google and YouTube are your friend for knots and rigs. Tons of examples that will match what you want and show you how to tie it.
Good luck out there!