I have a Honda Fit - If it is a Singer cabinet the legs will come off. The head will come out - there are two set screws by the hinges - loosen the set screws and it will lift right out. Then you can loosen the leg screws and the legs will slide off. Tighten up the screws and you are good to go. Kenmore cabinets don't always come apart.
The Singer 66 is a nice machine. You should be able to do a lot of chain stitching with that machine - save wear and tear on some other machine.