I ran phone and power out to my barn .
Just a sugestion. Run to allow more capacity that you need right now.
I originally ran two legs outside, one to the barn, one to the garage ( barn and garage are contiguous, but garage is enclosed and has siding, barn is stalled and has a pull thru. )
At the entry point to both locations I chose a load center that also had an external shutoff switch. The barn one is a wet location box.
I had originally planned for low wattage flourescent lights and low usage.. but i ran something like a 10-3 anyway.. glad I did, as i added some halogen spots in the barn.. and now have some power tools & saws, etc.
Works out great