Two easy trips ...
May Lake: there is a backpacking campground with running water and an outhouse! But it's not very private and the day-hike option for your layover day is Mt Hoffman (can't think of much else.) The actual hike to May Lake is quite short.
Lyell Canyon: fairly flat walk up the Lyell Fork of the Tuolumne River. Great fishing for little trout. Day hike to Ireland Lake or further up the Lyell would be fun.
Lots of people do Young Lakes. I don't know. It just doesn't appeal to me as much for a first trip.
From the Glacier Point Road, you could hike to Ostrander Lake. It's a bit steep for some first timers. Your layover day-hike could be to Hart Lake.
From Wawona, you could hike to Upper Chilnualna Fall. The potholes at the top are fun for swimming. This is probably better as an overnight only.
My favorite book: wildernesspress.com/product.php… You can find cheap ones that are used, but the info is still valid.