A quick look in onX shows a TON of trails.. There are numerous trails that are already mapped that will have trail descriptions and photos. There are plenty of unmapped trails if you are feeling adventurous..
Looks like a lot of the trails that are close are in the Kaibab National Forest.
I'd suggest you download onX and check out the areas trails. The trails already mapped will have a trail description and photos to help you decide if you'd like to do it. The Green marked trails are easy and Blue marked trails are moderate on the map below.

Thx... I was hoping to get some personal recommendations.