Maybe just uppers?

Top and bottom cabinets, with soffits removed. We haven't talked with our carpenter about the demolition yet. Probably will need to remove to replace the lower cabinets.

If you're getting new cabinets, you're removing the counters regardless whether you're re-using or not...are you asking if you should re-use them? Part of the cost for removal could be for that reason. If you are not reusing, they do not have to take such care in the removal which could reduce cost.

I worked for a fabricator in the past and removal of old counters was not a hefty fee.

Do you mean "replace"? Are you just keeping your same base cabinet frames but changing out the doors? Or are you ripping out the base cabinets but replacing them with new ones with the same configuration?

If you like the Corian and it is in great shape and will fit your new base cabinets, then keep them. "If it ain't broke, don't fix it." That money can be put to better use to update another part of your home.

IMO if you are getting new cabinets there is rarely a time when a kitchen cannot also benefit from a good look at how it functions which usually means new counters and a rework of the layout. I think tan counters with white shaker cabinets would not be a good look but without some pics of the space, and the cabinets it is hard to tell. I hate corian so I would be thrilled to get rid of it.

Seldom does the average person "re-do" a kitchen more than once (in the same house). Get new countertops. Ask @ local high school if they want the old Corian tops for use in their shop class (trivets, coasters).

You could be setting some serious money on fire by getting rid of Corian countertops. Pictures, and a dimensioned drawing, please.

Fortunately with solid surface, those changes can be made inconspicuously and cost effectively, unlike any other countertop.

I did reuse my Corian countertops with back splash. The Corian sink was already seamlessly integrated into the countertop. I had a countertop person remove one inch from one end and put a new end piece on the new cut surface to match the slightly shorter length of the new base cabinets. Although Corian surface looked good, I could have had it easily had it buffed for a new surface, nice thing about solid surface is how easy it is to repair.