All of
@scatman suggestions are great.
To make the decision even more difficult, here are others in Big Cottonwood Canyon. There is snow up higher on the north slopes, but most trails will be pretty tracked out.
For hikes the same day, I would say stay in the same canyon to contend with less traffic. Anything near SLC is likely to be busy on a weekend.
-Desolation Lake, up Big Cottonwood. If you go this Saturday (even numbered days) you do not have to contend with as many mountain bikers. Most people hike to Dog lake, but that's not much more than a muddy pothole. If you go to Desolation it is farther, and there is a good chance to see moose in the meadow. You can also gain the ridge with just a little more effort. There will be some snow in the shady areas
-Butler Fork in Big Cottonwood Canyon- this also can give you access to Mt Superior, just from the other side, and there should still be aspens with their yellow leaves. You can go as far as you want a couple of different directions
-There are always the sister lakes, Mary, Martha and Catherine. You can also take the connector trail over to Twin Lakes, and loop back to the parking lot. You will also see Silver Lake from above, so 5 lakes for the price of one moderate loop hike. The sister lakes are pretty popular, especially Mary, but the connector trail is not as popular.
-You can also get to Catherine from the Little Cottonwood canyon side, using Catherine Pass, but on weekends parking on that side can be a mess.