Hi, we are remodeling our kitchen and would like to put new base cabinets over the existing hot water, baseboard heat(not forced air). This area of the kitchen has never had cabinets before so I'm not really sure where to start. The stove will be on this wall and I need a place to work when cooking. The baseboard measurements are approx. 8in. high by 2in wide.

I don't really want to modify the cabinets in any way to put it over the baseboard. Just wondering if anyone has any good ideas about installing them so we still get some heat out of the register. I would like to install cabinets on each side of the stove. I was thinking I could somehow install the cabinets so they were out from the register a little. The countertop would be deeper, but that's okay with me. If so, what's the best way to vent the base cabinets so I still get heat and it doesn't build up behind the cabinets?

I was going to add a picture to show you, but since I'm new and haven't posted enough, I can't.

Thanks so much.