Footwear can be as important as the clothing!!! The bottoms are most important!
If there still is snow on the ground, or shelf-ice in the streams, AVOID FELT SOLED WADING SHOES OR BOOTS.
Studded rubber soles are best, or plain cleated rubber.
The problem with felt is it is slicker than grease on snow and ice, and you can take a spill. In addition, any walking you do on the shore will build up ice and snow, and you'll be 8 feet tall in short order! Even with studded felt!
There are a variety of strap-on "cleats" that are great in respect to the materials used, but the straps can be a real pain, and usually slip and partially come loose at the worst possible moment.