Here’s a photo of one of my cutting tools next to a woodblock. I use a speedball hobby knife, usually the short rounded flat blade. Sometimes I use the V- shaped blade or a small chisel.
I use the same tools for carving linoleum, which is a little harder to carve than the redwood I use, but much more forgiving.
Anything is fair game, I use a pie crust cutter too sometimes to start patterns.