Hi - yes you do need the 60 points, but you can do this part-time over a year or full time over two terms at most of the institutions that do the diploma.
You won't be too late, for example, to gain the 60 points (or the post-grad certificate in psychology, as they call it) by applying to London Metropolitan University to do it full-time starting this February, finishing June. This should leave you free to start the diploma next september, 2010. However, are you working at the moment? And where are you based?
These are important issues, obviously, for where you eventually choose to study.
Birkbeck and the Open University do the diploma, as do lots of "new universities" in London. Basically, most institutions that offer the conversion degrees are ex-polytechnics. I think this is because other, more prestigious universities, only offer full degrees. It doesn't mean the conversion course is any less regarded or valuable.
If you tell me where you're based, I can let you know about various courses available to you. What I would say though, is that you should look into the timetable for those that you're interested and think about which ones suit YOU best. i.e. how available are you? do you prefer day-time lectures/tutorials, do you want to study part or full time etc etc?