Photo is a cabin at Phantom Ranch.
Arguably the best hike in the USA are the trails down - and back up - the Grand Canyon. It's the only way to see the Grand Canyon up close and personal. The hike up takes twice as long as the hike down, roughly. It's not too challenging but it is glorious.
We did it 12 years ago and stayed 2 nites at the rustic Phantom Ranch on the riverbank. That's the way to do it. That first cold beer at the bottom is the best beer in the world even if it's Bud Lite in a can. The food there is great, thanks to the mules who carry everything down and up all day. Phantom Ranch has some cabins, 4 dorms, and a wonderful mess hall.
Look at the photos.
It's not a hike for young kids, and it's a hike for spring or fall - not summer. Too hot. One handy service they have is that they will take a duffel bag down for you on mules, and back up when you leave. Thus all you need to hike with is a daypack with water and snacks.
When you're out there, why not hop over to Sedona for some easy hiking in red rock country? Lots of pleasant hikes, few of the basic ones long or arduous: