I am having the floorcovering replaced in the laundry room, where my water heater is located. When the plumber temporarily removes the water heater, will I still have use of the cold water throughout the home, until the plumber reinstalls the water heater? It may be a day or two. Thanks!
If the plumber does their work correctly, yes.
Typically, there should be a shut-off valve just for the water heater. They would turn off water to the water heater, then work on it (after capping the hot water line). You would only lose hot water to the house.
Even if there's not, then a competent plumber would install one. That's a 15-minute job. Then you would still get cold water during the works.