You are going to spend 1/2 to 3/4 the cost of new counters to have someone that knows what they are doing to cut the stone and undermount a new sink, and have that actually look good. Might as well just replace the AGGRESSIVELY BROWN counters and get a better look all together.

I have a similar problem in my future, our white enaled cast iron sink has been chipped in several places in the basins. Our granite cost $9K in 2006 and I can't imagine what the current price would be. I've already decided that I will save the granite by surgically removing the front face frame of the sink cabinet with my vibratory saw, slide the old sink out and slide a new (identical) Kohler sink back in. I'd probaly change to the sink supports that Joseph Corlet recommends as well. Then add appropriate blocking to the cabinet frame for new fasteners and reinstall the face frame. Yes, we would like a new single bowl sink, which would most likely require a new granite cutout, but the double basin sink we have is quite acceptable as well.

You can undermount any of the 33" sinks without changing the cutout, but it's not going to look the best. It will be the easiest:

Don't bother unscrewing the clips holding the sink in place; beat it out with a hammer. You'll mount the new sink with straps, not clips. Hercules Universal Sink Harness (for the LIven) or a couple Sink Straps (for the Blanco). When the faucet holes don't align, you'll drill through the existing holes and through the new sink faucet deck. If you've got too many holes, get a disposal button to fill one please. It is unlikely that either sink will dunk, so you'll have to tap off your cabinet front to get the new sink in place. Mount the straps, insert the sink, put the front back on, silicone the flange, clamp the sink, tighten the straps, and remove the clamp.

It's not too difficult to cut the stone and top mount either sink. That eliminates the faucet hole problems:

The best is to cut a new cutout and undermount the new sink. Now it's undermounted, the reveals are perfect, and no faucet hole problems.

The last option is in the advanced class, an intermediate DIYer could handle the first two. Never touch anything plumbing related without verifying and testing the main water shutoff please. Don't ask me how I learned this.

Good luck and if you need any additional help, email me please. loosedeckcannon@gmail.com

HU:

Post a picture of your sink please. One that looks just like this:

I need to see your sink base cabinet please.

Yayyyyyy Joseph has entered the chat. I've been reading about you and checking out other posts. Here are the 3 pics of the front. I'm definitely not doing this myself, but trying to show and direct who I hire as there is no one-stop shop like you here in Nebraska who knows "what is possible" or "what is best".

The more I think about this..... I really need to cut the granite as I have too many faucet holes to plug..... Going down from 4 to 1..... plus the drinking water. So guessing this is the best option for the undermount and have my two holes on the back part - 1 faucet. 1 drinking water. Cleaner look. So the LIVEN might be the best option. The other Dual Mount is 1/2" wider.