well finding them is the first thing, you did that
there is what's called the euro method, it's complex using a "hair rig" style rigging and the use of bait runner reels and bite alarms but if you want to just go "old school" the sticky explains it well.
what I use when old schooling is a Carolina rig using a small circle hook, and a sliding sinker, I use a split shot perhaps 2 inches above the hook, I use regular corn and string maybe 6 or 7 kernels covering the complete hook including the shaft and even up the line abit, I like to use a flavor, dipping the corn in the flavor, then cast it out to your desired spot and "tighten" the line, you don't want a slack line, then I adjust my drag very loose to a point where it's free spooling, I will then take a handful of corn and toss it in the area i casted to and wait, when you get a hit the carp normally just run with it, very rarely will they just peck at it like Catfish will do, when they run you cup then reel, at the same time lifting the rod to set your hook, tighten drag as fast as possible and hold on.
PB Common = 36-4
PB Buffalo = 53-0
PB Mirror (fully scaled) 13-0
PB Flat Head Catfish = 44