Mohawk has the solution for you.
Mohawk has designed a mobile tyre dolly to enable one to move big and heavy tyres around the workshop. The Model TD-1000H and TD-2000 have a 1000 lb (450 kg) or 2000 lb (900 kg) lifting capacity. It can lift the tyre wheel as high as 45 in (114 cm) and has a 6 in (15 cm) side shifting capability which makes it much easier to align the wheel when fitting it onto the vehicle. The dolly can also help to place tyres on heavy duty wheel balancers. It is powered by either air or hydraulics.
Heavy duty castors make movement around the workshop quick and safe. Tilting lift arms make sure that stability is maintained regardless of how high the load is held. The tilting arms also allow easier alignment during tyre fitting. A foot pump allows an easy hands free operation. Changing large and heavy tyres is now a one person job!
Source: http://www.mohawklifts.com/consumer/td1000.php