Sustrans Scotland have a programme of Family Bike Rides.
These are guided family bike rides in and around Edinburgh which are free, easy, and fun. The cycle rides are led by trained Sustrans volunteers. They ride at an easy pace to suit the group with no one left behind.
Start time
All rides start around 11am and the locations vary on a monthly basis.
Ride time
The rides take about 2-3 hours with stops.

More information on these events can be found at:
Sustrans Family Bike Rides page