If you want to start them now just sew them into the soil. If you want to dry them and save for later you can just lay them out on a paper plate or napkin, or in a dry enough environment (A/C cooled area in the summertime) just throw then into a bowl or on any plate but make a shallow layer, not really deep.
How long it takes to dry depends on how wet they were, how much airflow, how humid the air is. The easiest answer is just spread them out on an absorbent surface and leave them be for several days, then pack them away in an area that isn't excessively moist or hot or for longest term seed viability, pack them in air tight containers and store in a refrigerator (some keep even longer below freezing but not all seeds will tolerate that - I don't know about yours). Refrigeration is not needed to use them only a year or two (or even a bit longer) from now.
I do it a bit different. I have a cardboard box with a small fan in a hole cut at one end and another hole cut at the opposite end for the air exhaust. By having active airflow I can pile the seeds up higher in little plastic tubs and have them out of the way taking up less space yet still have them dry in a reasonable amount of time. I probably wouldn't have gone to the trouble except I had the fan, the box, the little plastic tubs, and was curious... that and having several different types of pepper seeds to dry so I wanted something small a lot of seeds would fit in while they did. "Lot" being a relative term, I'm not talking farmer's crop level volumes of seeds... Just what I'd get after making a couple gallons of hot sauce or preparing a batch of pods for freezing or whatever.