Honestly there is not that huge a difference between the 60D and 600D, Not for video.
If i had to choose between either of them and the 500/550D id grab the 60/600 any day.
Personally i'm using the 60D (w/ Tokina 11-16 2.8 Lens) atm and it works fantastically for video. The articulated screen is a life saver at times and allows for a lot smoother hand held footage thanks to not needing to occasionally move the camera to see the screen on the 550D.
As for lens again as others have said the 50mm is the best all round for video. If your budget allowed then try go for the 1.4 instead of the 1.8.
But don't kid yourself ether. If you want a camera for video then buy your equipment for that reason. Don't try to buy something that you think will be handy as an all round lens etc because it will just gather dust.
The kit lenses are a waste of money (if you can buy the body cheaper) but if you had to go for one mainly for video use then the stock 18-55 is not great but not too bad. But on saying that it is a really cheap and noisy lens.
People will tell you to buy what they
like, others will tell you to avoid particular model numbers and others again will tell you to try and extend your budget.
For me i say as long as it shoots 1080p/24 it should be able to cover your needs for video (and all lower formats too eg 720p/60). Then spend that bit more on decent EF grade glass. That way if you decide to upgrade down the track the lenses can come with you and the body didn't put you too far out of pocket.
But thats just my choice. End of the day its your wallet