To add what others have suggested of pull the cover, lift slightly both sides of the axle one side at a time. The fluid is in the axle tubes and needs time to drain back to the center section. Before you begin, make sure you can remove the fill plug. If the plug is the rubber one, remove it and inspect it. Be careful, using a screwdriver may create a problem. Get a replacement if necessary. Better to find out that replacement is necessary prior to emptying the diff, unless you have another vehicle for transport.
Suction is the cheap way of doing it, and that's what the oil changing stations do. If done in as much as changing the engine oil, then I don't see a problem, especially when the fluid is hot and mixed well.