I find flip flops too restrictive.
Hey, first post, and I'm zinging 'em.  I hope that flies well here.  I was drawn to this forum by this thread.  I have been given almost the exact mower as the original poster.  Not in as good of shape as his.  Mine has been in a flood.  Not high enough to get to the motor, but it has trashed the reel.  I hope sand blasting brings it back.  And mine has a Briggs Motor, with the aforementioned wind up starter.  While I agree that it would be easier to start it with a rope starter, you see so few of these wind ups that actually work(like mine), I think they're kinda cool.  The exact model is 536.81140.
But all of this will be no good if I can't find wheels and tires.  This unit has seen hard use, and there is a huge amount of play at the axle bolt.  Without a measurement or a new part to compare to, I can't tell which is worn, the bolt or the wheel.  And, of course, the tires are hard and bald.
Stan