The Black Canyon of the Gunnison National Park is located near Crawford, Colorado for the North Rim, and near Montrose, Colorado for the South Rim. To drive from the South to North rim in one day is about a 2-3 hour drive. It's best to pick one that you are more interested in seeing, so you have more time to explore that one area and fit in a hike.
Elbow Fork in Millcreek Canyon is a popular trailhead for Mt. Aire, the Pipeline, and for accessing Lambs Canyon Pass, the dog-friendly way. Many people chose to hike up to Lamb's Canyon Pass via Lamb's Canyon, however that section of trail is part of the SLC Watershed, and dogs are not allowed.
Eccentric Benchmark (12,276 ft) is the highest point for both Uintah & Daggett Counties in Utah, making it a popular summit for peak baggers. It's a high, rounded mountain in the Far East Uintas. What it lacks in views from the summit, makes up along the cross country trek with views as far as King's Peak to the West, and the Flaming Gorge to the Northeast.
The "Wasatch 7" Peaks are the seven major peaks that line Utah Valley. They are all challenging peaks that require a full day of hiking - some with route finding, some with a perfect trail. Most of these peaks also have a lot of elevation gain, and therefore are not for the beginner hiker. Because the Wasatch 7 Peaks are all over 10,000 ft, they are typically only accessible in summer months, when the dirt roads are open, and the trails are free of snow - this only leaves a few months to summit all 7 peaks. Most people take a few years to complete all summits - others have completed them in one summer. No matter how much time you have to dedicate to completing all of them, they surely live up to Utah's motto - "Life Elevated!"
Cascade Mountain (10,908 ft) is the large mountain located directly above Orem, Utah and is one of the "Wasatch 7" Peaks. Not many people hike to summit, as it requires a full day and all routes are difficult. However, for Peak Baggers it's a must. It's crazy how just to the north of Provo Canyon is one of the most popular summits - Mt. Timpanogos. It's also interesting how different the terrain is compared to each other, and how much more difficult Cascade is.
Mt. Watson (11,521 ft) is located on the West end of the High Uintas Wilderness, and though it is surrounded by several popular trails and lakes, most people do not summit this peak. There is a trail for the first 2 miles, but you're on your own after that to reach the top. That's what makes part of this peak fun - it's a "choose your own path" adventure!
Mt. Waas (12,331 ft) is the Grand County High Point, and highest peak on the north end of the La Sal Mountains near Moab, Utah. The La Sals can be seen as far away from Green River and parts of Colorado, yet hardly anyone makes the trek to the several summits available, making a great place to seek solitude. The Moab valley can be in the 100s for daily high temperatures in the Summer, yet in the LaSals, it can be at least 20-30F cooler depending on how high you reach. The La Sals area only accessible during summer months when the gates are open, and the roads are dry and clear of snow, typically July - October. Winter of 2017 was extremely dry so we were able to summit late June 2018 with only one patch of snow.
Church Fork Peak (8,306 ft) is located along the Millcreek Canyon ridge, in-between Mt. Aire and Grandeur Peak. To get to the summit, you follow the Pipeline Trail, then turn off on the actual Birch Hollow trail, reach the ridge, then bushwhack your away to the false summit and true peak. This trail is very steep, and requires some route finding along the ridge. If you aren't comfortable hiking off trail, bushwhacking, and route finding, this isn't the trail for you.
Noblett's Creek, located in the Southwestern end of the Uinta Mountains, is a good early/pre-season hike when the rest of the high elevation hikes in the Uintas are still covered with snow and mud. Because Noblett's Creek is at an elevation of 7,400 ft it is typically ready to hike by end of May/early June (depending on the snow pack from Winter). This trail is really short at only 2 miles round trip, making it perfect for families and kids.