The Cache and Caribou National Forests offer many trails for hiking. Many travelers to the area visit the Minnetonka Cave located in Saint Charles, Idaho. This is a limestone cave and is a great activity for families. Call ahead to make reservations as it does it get busy during the season. 435-245-4422 There is a fee to visit this area.
There are several other trails that are accessible during late June through October or until the first snowfall that offer different levels of ability from the family friendly to the adventure seeker.
Visit: https://bearlake.org/cat/bike-trails/ for more information and trails in the area