You'll need a few basic tools, but nothing too exotic. Here's what you'll actually use, step-by-step.
First, you need a drill. For the standard faucet hole, you'll use a 1/2" drill bit. If you have an air-gap faucet, you need a 1 1/4" hole instead.
For the wastewater drain line, you need to drill a 1/4" hole in your sink's drain pipe for the saddle clamp.
For wrenches, grab an adjustable wrench or pliers. You'll use it to tighten the feed water adaptor and the faucet nut under the sink. The included filter wrenches are for changing the cartridges later.
You'll also need a Phillips screwdriver to mount the faucet and a utility knife or scissors to cut the plastic tubing cleanly.
Don't forget Teflon tape for sealing the threaded connections on the feed water adaptor. Wrap it clockwise on the threads to prevent leaks.
Take your time, follow the connection order, and double-check every fitting before turning the water on.