I've had mine out a couple of times. Put the bike on the side stand, that will keep the chain hanging right where you can get to it. The chain will not fall off, the starter gear should slip out very easily.
Seems like you need a 7mm socket on the bolts for the starter. Just tie the gear shifter "up" and that will keep it out of the way. It helps to have a 1/4 inch drive swivel socket.