Winston, your situation is totally different to Cool Hand's.
For Winston, as the posts have indicated, it's just an SEP prof check with an examiner - provided you have a current ATPL. If your ATPL is still valid then the proficiency check is a simple procedure, but do practice your PFLs (practice forced landings) before you take the prof check as this will probably be the main area you're less proficient in. All the people I've examined in your situation have done a couple of hours training with an instructor and then taken the check - and all have been excellent.
Cool Hand, it sounds as if you have a lapsed PPL. In other words you don't have a current licence at all (Winston does but he does not have a class rating on it). The GID that you are quoting is indeed out of date (you should let your flying club know). The new requirements that the previous post correctly cites are contained in the LASORs book p. 129 (your flying club should have one or buy one from the CAA.) Note: if your licence is older than the CAA (ie one of the old 5 year licences), then believe it or not, you have to do the full PPL course again. For it to be so, you'd have to have done your PPL more than 30 odd years ago, but I've just retrained one poor chap in exactly that position - they even sent his application back saying he was 30 mins short of solo time; even though he had 800 hours and 150 twin time!
For both of you, the situation is very straight forward and shouldn't be at all expensive - I'd say the CAA/JAA have done a good job on this.