Hello Paul,
Before you try to go down the voltage converter path - confirm that you really don't have 220V.
I agree with John in that a home today without 220 V power would be very unusual - especially in California, where you have central air conditioning. If you have central AC, then 220 V power is pretty much a certainty. Someone familiar with home wiring systems could look at your entrance breaker / fuse and tell you in 10 seconds if there is 220 V power. Perhaps you have a relative, neighbor, co-worker that could take a look.
You are right in that 220V outlets look different from 120V.
220 V outlets are typically only installed where 220V is expected to be used - such as at an electric range, electric clothes dryer, or an electric oven.
I can see where there would not be a 220V outlet in a garage unless a previous owner had a welder or some other high amp device.
220V outlets also look different depending on the amp rating. This is done so that you don't try to plug in a device which draws more power than the rating of the wiring / breaker which is installed.
Assuming there is 220V power in your house, adding a 220V outlet may not be a big deal.
Its not a "first time project" though. Find a qualified person to do the work. Show him the machine to be connected so that the proper breaker / wiring / outlet is installed.
Terry S.