Inasmuch as this is the first time to the area for you, there are a lot of options.

Although some don't like it, I think a very nice trip goes over cottonwood pass. I've enjoyed doing that as an afternoon hike, camping at Chickenspring Lake, instead of camping at HS meadow. Just a couple hour hike, but gets you to your first lake.

NAP 12,200
AP 11,900
CP 11,200

So going over CP is easier elevation-wise.

Next day, easy 6 miles to lower Soldier lake, gradually descending trail. If you are feeling good, go over the saddle into Miter. I recommend camping below SBL in a copse of trees below the Miter for a little shade, shown as a green patch on the map. This is another 1.8 miles, mostly flat.

Next day, dayhike to destinations in Miter Basin, but move camp back to Soldier lake.

Final day, climb Langley via Army Pass Trail, but hang a left to the mountain. ~4.8 miles to the top, about 3k gain. About 10 miles back to the Cottonwood PASS trailhead, but it is ALL DOWNHILL!