Riding a scooter and bicycle on Shabbat

Question: Is it permissible for children (ages 7 and 10) to use scooters or bicycles on Shabbat in Jerusalem (within an eruv)? There seem to be different customs in our area of Jerusalem (Katamon).
Answer: There is an established custom not to ride bicycles on Shabbat. Riding on a scooter and riding a bike with training wheels is considered different, however, and not including in the custom. It is forbidden to change the custom of a place, but since there are various customs in your neighborhood, it is permissible to ride a scooter or a bike with training wheels.