I found out about a local Cyclocross race and decide that I would try it out. I have a bike that I think will work (Specialized Sirrus) now I just need tires for it. Any suggestions on something that is fairly cheap but will do the job?
I was thinking about These but I really have no clue.
With a Sirrus I'd suggest you use a 28 or 30 mm tire. I don't think you can fit anything wider.
Be aware that most tires are fine for specific conditions they were designed for and that there are a LOT of conditions in various cross races from dry summerlike conditions to rain and mud like soup to snow and ice.
As a beginner use what you have and learn as you go.