Tony Grove Lake is a popular summer hang out and camping area in Logan Canyon, Utah, about and hour and half drive from SLC. Not only is it dog friendly (off leash) and kid friendly, you can take your kayak or SUP on the lake, there's camping on the southern end of the lake or at the official campground, there's picnicking, hiking, fishing, and will definitely offer something for everyone in the family. Many people head for for just the day to explore Naomi Peak and White Pine Lake as well, or bring a camp chair and enjoy nature along the lake.
The Sherwood Hills Maze (or Labyrinth) in the foothills of Orem, Utah offers more of a spiritual destination, rather than say, an overlook. This area is not well know, and my friends who live in the area would like to keep it that way. Plus, I really wouldn't recommend this trail to anyone - there is a lot of overgrowth, bushwhacking is required, you have to be very careful about skirting around the private property in the area.
Most peaks require hours of effort and are typically suited for hikers with a lot of back-country experience, yet Buffalo Peak near Orem, Utah is a peak for the whole family to enjoy (even the dogs!). With the low elevation gain, and short distance, even children will be excited to summit this "peak". You can reach the summit in under 15 minutes at a moderate hiking pace, or closer to 30 minutes with children. Buffalo Peak offers a fantastic view of Utah Valley to the West, and the Cascade ridgeline to the East. Late Spring and Early summer is the best time to hike here while the wildflowers are blooming.
Mt. Pennell (11,371 ft) is the 3rd highest point in the Henry Mountains, coming in after Mount Ellen and Mt. Ellen Peak. The Henry Mountains are off the beaten path for most hikers, but the range itself is a peak baggers dream! 5 of Utah's 81 prominence peaks are found in the Henry's: Mount Ellen (#3), Mt. Pennell (#26), Mt. Hilliers (#32), Mt. Ellsworth (#42), and Mt. Holmes (#64); the last two peaks are also known as the "Little Rockies." Take a few days to spend here, and you could knock out all five peaks.
Coyote Gulch in Southern Utah is one of many quintessential red rock canyons of the Escalante River drainage. Containing several natural arches, natural bridges, petroglyphs, cascades, waterfalls, and pure beauty, Coyote Gulch is one of the most scenic canyons in Utah. Coyote Gulch could be hiked in one day, but why rush? With all that the canyon has to offer, plan on spending at least one night minimum backpacking. Two nights will really allow you to take in the massive canyon walls, sparkling stream, and breathtaking scenery.