an entry level Canon DSLR like the t3i/600D.

For photos, get a 50mm f/1.8 lens.

For skating, get a Tokina 11-16 f/2.8 and a 18-55mm f/3.5-5.6 kit lens. But, that's going to be more than your budget. Obviously, you can use both lenses for either video or photos, but they are both pretty much essential, in my opinion. Prepare to invest a stupid amount of money on camera gear, or just try not to acquire gear acquisition syndrome.

Well if you're splitting it between video and photo duties that pretty much points to getting a DSLR. I'm not sure what pricing in Europe is like, but the Canon T3i (aka 600D) is a really good starting point, and you should be able to find it used or refurbished for cheap. It will probably come with the 18-55 kit lens, which will get you started. The 50mm f1.8 is a great second lens, and for skating stuff after that you will probably want a fisheye. Most people will go with the "manybrand" fisheye, which made by Samyang in Korea and is sold under several different brand names like Samyang, Rokinon, Bower, Pro-Optic, Vivitar and others.

Also, the Tokina 11-16 is out of your budget, and definitely would not be one of my choices for a basic DSLR skate-filming kit. A fisheye will be more useful and cheaper.

Thanks guys,

very helpfull!

let me as the lone nikon guy step in and say i cant speak highly enough about the entry level nikon options out there. If you find someone with old lenses for nikon(or canon), scoop them up. Alot of parents haven old film lenses laying around unused, get them.