I didn't read IAP's links, so if this is redundant, forgive me. You can't have just one goat... at least not if you expect the pet goat to not cause you lots of problems and if you expect the goat to be content. At least two for minimum. They should both be whethers.. (neutered males), in my opinion. For one thing, they don't smell as do un-neutered males and females really should be bred once a yar. They need quite a bit of room and the fencing for that room is demanding. At least 4 to 5 feet tall and well constructed so they don't push under or thorugh the fence. You say you don't have much spare time... my experience with goats is that they require certain time consuming things everyday... goats are sticklers for fresh water, preferably twice a day! Same with feeding. They like to have something to climb on and they chew almost everything. They must have shelter, although for two or so it doesn't need to be extravagant.
If you live in or near a city/village, be sure to check local ordinances since most folks don't appreciate goats as neighbors. I hope this hasn't been neccessarily negative, but it's important to understand the downside of what you may be getting yourself into. Best of luck!