Whether you use a local mover, appliance mover, or do it yourself there are some tips when moving a range or stove that can help make the process easier.
When deinstallating a stove or range, all the same rules apply for electric or gas ranges except disconnecting the gas line at the source. First, to protect your floors, use a piece of masonite the width of the appliance and about 6’ long. Place it in front of the 2 front feet, tip the appliance back and slide the masonite all the way in until it touches the back feet. Tip the stove forward and slide it onto the masonite so the piece can be pulled forward to unplug. Some stoves have an anti-tip bracket that would need to be disengaged first. At this point, if the stove is gas turn the valve off and unscrew the flexible gas hose from the source. Then unplug the range. Pull the range out (still riding on the masonite) until you can get an appliance dolly behind it. If the range has an anti-tip device deinstall it to take with you to your new location. You can either tape your oven door closed or remove it from the hinges at the base of the door. If any knobs are removable take them off place them in a box with any other removable parts like internal racks, burner covers, etc for shipping. Pad the range with moving blankets and strap it to an appliance dolly for transporting. Keep the masonite piece with you for reinstalling. Never lift or move using the door handle (if door is still attached).
If your range has an anti-tip bracket it must be reinstalled at the base of the wall so the left rear leg of the appliance can be secured into it. Put your masonite down leaving only a few inches to the wall. Once the range is unwrapped, face it forward so it can be moved back into place. Slide it (on the masonite) close enough to plug in. Reattach the gas line (if necessary by screwing on the flexible hose to the source and opening up the valve, you can use soapy water on the connection to make sure there are no leaks. Once attached, use a level and measure counter top height to adjust the screw in peg feet to insure the piece is level and the correct height. At this point reattach the door (if necessary), place any knobs, racks, etc back in place. Finally, slide (on the masonite) back into place. The back feet should be just off the masonite at its final resting place. Tip the stove back slightly so the masonite can be pulled out. That should do it, the range should be ready to use.
These are some tips to assist in moving your stove/range. As always check your manuals for specific instructions.