Tonearm I see one issue with your move. I strongly advise that for a least a week you keep the old site running. This prevents some servers that have a longer TTL from keeping the old IP cached thus sending the user to the dead site.
Matt says 24-48 hours I always keep the site live for a week. Just my preference.
It was recommended above to do the redirect by JD_Toims and this is a good option I just prefer to be safe and avoid any technical issues.