Welcome, Mark!
I've not been to Bryce but we spent a week in Zion a few years ago.
I had planned to take The Narrows hike up the slot canyon where you have to walk in the river most of the way, but the park service banned it because the water was a bit high, but mostly because the water was even colder than usual, and "usual" is very, very cold. They had to also outlaw tubing on the Virgin River as people were getting hypothermic and having to be carted off to the hospital. The Virgin River is gorgeous.....it's sort of a milky jade color from the snow melt. The Angel's Landing trail is spectacular but scary as heck at times. The Pa'Rus River Trail is lovely and very easy.
Zion is beyond beautiful. The rock formations are breathtaking. During peak tourist season, you can't drive in much of the park but there are shuttles that take you from the visitor center to most points. Parking at the visitor center fills up very early in the morning most days, so you might have to park in Springdale and either take a shuttle or walk (it's not that long a walk) to the visitor center.
You can drive through the tunnel over to the slick rock side of the park, where the scenery is quite different.
Sorry I can't help with Bryce.