Do normal snow boots work for a snowboard?

No, you have to use boots specific to those bindings. I'm not sure if you have Clickers, the old Switch step in's or something else but I can tell you it is going to be hard to find boots for them and you need to get rid of them! Step in's are outdated and can be unsafe. Flow and K2 make alternative's to these methods that allow you to use any brand of snowboard boot as well and get the performance and response you need.