You have the options of both helicopter, multi rotor types and also fixed wing. Looking at your average flight time and payload I would suggest you look at fixed wing aircraft. Do you have any RC flight experience? Get some, you will need it if you go the UAV route whether it is an airplane or helicopter.
The amounts for fully functional UAV "kits" are as per the market pricing, fair. They are not cheap. I believe you will find someone in your area who will be willing to help you getting started
Best of luck on your endeavor
what sort of distances are we talking ?
I'd consider a glider like the ones for sale at http://www.event38.com. They're not set up for video by default, but the airframe is called a Skywalker and if you google "skywalker fpv" you'll get lots of hits on how to set up the airframe for video. The event38 system would get you the autopilot and airframe and you'd have to mod it for FPV, but you could probably get the whole system going for less then $1,000. I'm still playing with the Skywalker, but from what I've read 2 KG is a piece of cake.
PS: If you hit a horse with a Skywalker all you'd probably do is p*** it off.
Putting together a system that fits the letter of your requirements for much less then €20K is possible. But, that does not include all the work, experimenting, programming and failures to get such a system to actually work like you need it to.
This is a DIY enthusiast forum and people reading you request will view it from a DIY/Hobby point of view, often forgetting that for other people a UAV can be just a tool to perform a certain task. And as a tool it has to "just work (tm)" day in and day out without having to fiddle with settings, solder electronics and learning how to program.
My point is that the price for a commercial system, does not necessarily reflect the price of hardware. But everything else has gone into the system so that it becomes a proper work tool.
Just Work (tm) I like that alot ;-) John
If you go the heli route you will not have change from EU 30k
Don't discount a fixed wing, I think a Blixer and Turnigy radio costs about US $100 from Hobbyking.
Fly that first without any autopilots get the hang of it, strap a point and shoot camera to it and see what happens.
Once you have that experience you will understand better what you need and why it might cost lots of money.
First thing you could do is pop off an find flying model simulator (FMS) its a free sim for RC planes and works very well. There is probably a Blixer or Easystar model for it.
There is no such thing as a click and go UAS system that requires absolutely no flight experience.
The big expensive ones are easier to fly but because they are so valuable and need to fly in controlled and special use airspace the pilots have to be licenced.
The small stuff here, has been hand crafted by its owner and sometimes might not work quite as advertised. That's why you need to be able to take over and bring the kite back in time for tea and medals.
So whatever option you take you need to do some training.
Nobody has yet pointed out that flight beyond visual line of sight is illegal in the EU without correct licencing. The civilians I know that are able to undertake these flights in the UK have ATPLs with EUROCAE WG 93 moving forward expect the rest of Europe to fall properly inline with the regs now.