To cut the Hanex countertop, a jigsw with a fine tooth blade should work. Your new sink should have a cut-out template with it. Secure that to the top of the existing countertop to properly cut the opening. If you're cutting more than just the radiused corners, drill a pilot hole for the saw blade before trying to cut. That's probably the easy part. Once cut, the raw edges will need to be sanded to a fine grit to smooth them out. Most likely this will be a hand operation, or possibly done with a bullnose or radius profile router bit. Expect it to be messy.
The other consideration may be getting the new sink into the cabinet to mount it. Check the dimensions carefully before starting anything. That, and trying to secure it to the underside of the countertop will be tricky, especially if it's a deeper sink.
No, I haven't done this specifically, but did have to add more mounting clips to the sink in our 3670, as well as monkey around with the large double bowl (overmount) sink in our house a couple of times.