Bill,
I took most of mine out with a air chisel which would break the tiles out even with or just behind any cabinets or anything else in the way. I used it both horizontally and vertically. The vinyl planks called for a slight gap to allow for expansion, so I milled some floor molding out of walnut and fastened it around the perimeter. I did loose about 1/2 inch of floor space overall, but have not really noticed that. Hope this helps you some.