I am replacing an old linoleum floor in my bathroom (replacing it with just another linoleum floor). It looks like the current linoleum floor was installed prior to the carpeting and the edge by the door is under the carpeting (see the picture below). How can I remove the old linoleum without damaging how the carpet is attached? And then when I put the new linoleum down, how can I get it under the carpeting again so the door edge of the linoleum does not roll up?

