My favourites, two easy routes for snowshoeing in Ylläs area are Kuertunturi route and Pikkulaki route, both marked in ski maps and on ground. Kuertunturi route starts at the village of Äkäslompolo. See my post on Kuertunturi route.
The route to Pikkulaki can be started from several points, the longest one from the village of Ylläsjärvi and the shortest one near Iso-Ylläs ski area. See my post on Pikkulaki route.
The beautiful views from both fells gives to nearby taller fells. You do not have to follow the routes, can go anywhere with snowshoes, but for a easier return to the village bring the map with you.
There are several other routes in Ylläs, buy the ski map from local stores and see route descriptions (only in Finnish).