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You need a hole saw if it's a laminate countertop. You will need to tape (use painter's tape) the area where you will be increasing the hole diameter. Hold the drill powerfully and steadily so as not to walk the new hole that you're drilling all over the countertop.
Did the faucet come with a retainer clip? It might be missing. Check the instructions manual and see if something is missing.
Heatless (cold) Toner Transfer for PCB making
Glow in the dark Batman Light
Make PVC Look Like Wood
Arduino LCD Master Clock
How to Change a Kitchen Faucet
Mr. Hat puppet