Well here's what I've got
[C] - 5433
[C] - 9787
[Csus2] - 0233
[G] - 0232
and on the last G he moves up the A string for the last couple strums with a 3 and a 5
to be honest I'm never 100% sure about what I figure, (especially that Csus2 sounds just a teeny bit not right) but this is what about a half hour got me, I hope you like it. For future reference, here's a couple resources that should help in the future
http://ukuleleunderground.com/forum/showthread.php?t=11818
that big thing is the circle of fifths and the general rule is when you find the key (I believe this one is C, but you can tell what the key is by finding the last chord or note as it is what is usually referred to as the resolution chord which is indicative of the key) well, when you find the key use that big wheel as a guide. Find the big corresponding letter and try to not stray to far away from it, like with C, using C, Am, F, and G are good and the extra stuff (numbers, aug, sus dim, and so on [not minors normally]) are generally fair game, especially if it's on the key chord (c this time) sometimes you can use some of the farther away stuff but its much harder to make it sound right.
If you're trying stuff out (like finding numbered letters) then use this
http://www.sheep-entertainment.nl/ukulele/
it will let you know what you find
As for finding what specific chord to use from the most likely candidates, try and play the chords as notes on one string because it will be a lot easier to hear then build around it.
Sorry if I'm preaching to the choir or if it sounds like I'm speaking a foreign language, but when it comes to music theory you can't really guess at what a person's knowledge level is at.
let me know if I can help any more
Edit: forgot to mention, you've got a nice taste in music, I really like that song. If it were otherwise, I'm not to sure how hard I would have worked on it