Eviction: Non paying tenant: After a 30 day notice should I give a letter to quit?

I have a rental property that is on a month to month lease. On 9/25 I gave him a 30 day termination to be out by 10/31/10. I went to a notary and also did the proof of Affidavit of Service. They now of course are not paying Octobers rent.
I realize this is now all going to be a process. The question is, since they are currently in violation of the lease agreement that states that they may not use the security deposit in form of payment of last months rent, should I draft up a 5 day Quit form and give it to them that shows all monies owed including late fees?
In Illinois, would it speed the process up faster, because after that 5th day I could file in the court house for eviction? And at least get the process moving in that direction?
Any advice would be greatly appreciated.