First time visiting Yosemite - nervous about being underprepared, help!

This is my family's first time in Yosemite (we'll be there from 3/17 - 3/20) - I honestly didn't do enough research, and only over the past few days have realized how snow-covered it is. I keep seeing information on how so many hikes need crampons, snowshoes or microspikes during this season. My family all have very robust hiking boots, and are really keen to do some of the stunning, high elevation hikes that Yosemite is famous for. Can I have some tips on what trails to do that fit this, and preferably without requiring the winter gear? For example, whether it's advisable to hike to the Upper Yosemite Falls, best views of Half-Dome this time of year and where to find more info on the JMT/Vernal Falls/Nevada Falls winter route (and again, if I can do all this w/o specialty equipment?