How can i get electricity to my action building?

Ok the best thing to do is to hire an electrician to do this. If you are going to do this yourself. First off how far away is it from your main panel? That will determine if you need to worry about voltage drop, and that will determine the size of wire you need for the amps you want out there. Then figure out how many amps you will need out there. In most cases 60 amps is all you will need. Install a 60 amp sub panel out there and you will have 240, and 120 volts available to use. If you have room in your main panel install a 60 amp double pole breaker to feed the sub panel. Exit the house using pvc conduit and pull the proper size wires, 2 hots, a neutral and a ground. Hook the hots to you main breaker in the sub panel, the neutral to the neutral bar and the ground to the ground bar. Here is the important part. YOU MUST keep the neutral and the grounds separate in a sub panel. The only place they are bonded together is in your main service panel. DO NOT drive a separate ground rod for the sub panel. Anytime you drive separate ground rods they MUST be bonded back to your main ground rod. I ran 60 amps to my shed and have plenty of power for all my tools, or toys as the wife calls them.

You would need at least a 15 amp circuit from the main electrical panel. As for how you can get it there, I cannot answer that because you didn't give enough info. I don't know what the layout is. Call an electrician.

Buy a length of wire. Connect it to a branch circuit breaker in your service panel. Run the wire out to your shed and hook up lights and outlets. The correct way is to make a sub-panel in your shed. That is you keep the ground and neural wires separate. Then sink a new ground rod at your shelter and ground the shelter to that. You don't hav to do that though, it will still work just running a wire out to your shed.