However, I'm happy to help out however I can in the next two weeks." If you haven't landed a new gig yet or your new start date is negotiable, know your limits. If you're willing to stay an additional three weeks, for example, don't let your manager talk you into staying three more months.
After that, you're ready to close out your letter and move on. The basic closings are fine here__again, you don't need to go overly sentimental or formal, but you should also write as if it will be read by anyone at the company. And with that signing flourish, you're done! You've resigned, and you're ready for your exciting new job.