Check it out - we've got some suggestions for cycling routes on North Funen here! There are no signs along the bike routes, but the route is marked on the map for each route. You can see each route on Bike Map and on a map that you can print.
You can choose to combine the bike routes, and you can use the bike routes as inspiration to explore Nordfyn.
All the routes are along small roads and paths so you don't have to worry too much about traffic.
You can also try the regional bike routes on North Funen.