This will cover setting an eyelet without the special eyelet pliers, a bench mounted press, or a hydraulic press. You will need a hole punch, the eyelet tool (or tapered punch large enough to spread the eyelet) and an anvil of some sort with a hole.
Step 1: punch the hole.
Using either a leather/ fabric hole punch tool, a round tubular hole punch (often included in eyelet kits), or as a worst case a pair of scissors (be careful not to make the whole too big here), punch a hole the size of the center portion of your eyelet.
You can use scissors if you have no other hole punch, I usually cut an x on the center of my hole then remove the excess material if I do it this way.