Start at one end and work towards the other, best way to do it right.
Peal the pedal pad away and check the pedal hinge and motion, then look at where the pedal engages the cable and how the cable enters the tube. Ought to be smooth and tight with no side to side movement.
Spray the pedal hinge with PB Blaster, then white lithium. Pump some white lithium down the throttle tube as well.
Walk around to the back end and pump the throttle tube full of white lithium, look underneath to check for any grease making it out of the tube or joints and fix 'em/secure them as needed.
Hit the carb linkage with carb cleaner, PB Blaster, and a smidge of white lithium as well.
If nothing's messed up or missing, you ought to be good to go for another five years. By then you'll have lost interest in the ride.
Luck,
TC