How to wind small alarm clock springs?

[freddy333]

Does anyone with experience working on clocks know how to wind small alarm clock mainsprings? Is there a winder or trick to getting springs like these installed back into a clock movement? They are much too large when unwound.

The wheels they are attached to are about 3/4" & 7/8" in diameter, which is about the size the springs are when installed in the movement. They are normally wound with keys that screw onto the arbors and fit through the back cover of the alarm clock.