An electric stove runs on a heavy 240 volt circuit, so the first safety step is fully disconnecting that power. After that it is mostly about protecting the cooktop, whether it is a glass ceramic surface or coil burners, and securing everything that can shift.
Pro tip: Check whether the new home has a matching 240 volt outlet and the same plug type, since three-prong and four-prong cords differ.
Watch out: Confirm the 240 volt circuit is off before touching the connection. Electric ranges draw far more power than a normal outlet.