Help with installing granite countertop and undermount sinks

I am about to replace my double sink countertop which is laminated particle board, with the same dual sink configuration but undermounted and with granite for the countertop. I found a good supplier that will sell me ¾” granite and cut out the sinks/faucet holes for me, but I am hoping to save money and do the installation myself.

My questions are:
1. Can I rip out my old countertop/sinks and mount the new granite countertop over the existing cabinets and then attach the sinks to the underside of the countertop using brackets installed into the granite?

2. If so, I will need to drill into the underside of the granite. Can this be done easily and what is the best way?

3. Or do I have to place a piece of MDF board on top of the cabinets, cut out the sink holes, and then mount the sinks on the holes, before placing the granite down? The sink I am planning using is Kohler Caxton™ Undercounter.

Thanks in advance.

 

Snafoo - I have a Kohler undermount in my kitchen. I purchased an undermount kit from Kohler ($40) but never used it. The granite installers simply screwed in a couple of 2X4's to support the sink. They just leveled the 2X4s with the cabinet tops and then installed the granite.

After watching them install my kitchen I did the same in my master bath. The only difference is that I epoxied the granite to the vanity.