Yeah, but with DSLR, you can either make videos or photos, which you can't do with a video camera :meh:
For now, I need something to begin with and don't want to spend too much just for now.
Canon T2i ... That's eos 550d? Are names different in Europe/America?
Sorry, forgot about the names being different. Yes, the T2i is the 550d. Sony also makes a decent DSLR for video. You might want to check with some of your local shops and see which brands they carry. Being in a small Country in Eurpope, local support should be a factor in which brand you choose.
My standard answer is 'what do your friends shoot with'. Having gear that you can borrow and a local support network is invaluable. If you don't have friends that have camera gear, local support is another big factor.
In an ideal world, 'what fits your hand better' is the most important factor, but we don't live in an ideal world.
Nikon was the first DSLR maker to include video, but Canon has leap frogged them in regards to quality. I think the Nikon D5100 takes decent video, but I haven't really spent a lot of time comparing video quality. Heck, the DSLR I shoot with most doesn't even have a video option.
Basically, I think you should probably spend some time comparing the Canon 550d and the Nikon D5100. Both are around your budget number and both have respectablish video. FWIW, the D5100 has a flip out screen which is particularly useful for video.