First you need to determine if it's a bearing wall. Either way, cost will be a factor. If not load bearing, you'd be looking at new cabinets, countertops, and perhaps matching the flooring some. You could make it a half wall adding some storage along there; but I see you have a heat thing (sorry... Floridan here so not sure what you call it) coming out of the floor along that wall. That may need to be revented then. BUt if you could, with storage along that wall you can do an over-hang to give it a more open look.

How can I tell if it is a bearing wall?

Sorry - I'll put my question about my wall on my own thread!

Look up your plans with the city, ask a structural engineer, or open the wall toward the top and see if there's some kind of header. We did the last thing but were certain it was a bearing wall anyway cause years ago it was an exterior wall (which we knew)