Stewart Falls is an excellent hike with a beautiful destination-some big waterfalls that you can get right up in.
Length: 3.5 miles round trip
Distance from Provo: about 20 minutes
Family Friendly: this is a dirt trail that's not suitable for strollers, it's not steep but may feel very long to a small child.
This hike is shady most of the way and has cool water to play in at the end.
Other notes: It costs $6 to enter the national forest area (Unless you have an annual national parks pass then it's free) -there is a booth right before the trailhead where you can pay. You will get a pass for 3 days so you can take advantage of that and drive the alpine loop, or go check out silver lake or other cool stuff in american fork canyon.
How to get there: Drive up provo canyon and turn left at the Sundance Resort (US 92) turn left and go for 4.4 miles-through the booth and park at the large lot at the trailhead.
The Trailhead has trails to both the Timpanogos Peak trail(Right) and Stewart Falls(Left) go left.