First of all you have to have a barn to put any animal you want to buy. If you want any chickens buy a coop, if you want any live stock such as horses, cows and sheep, get a barn & hearts.
you buy one at the blue sky ranch
Once you build a Barn you can just buy a Horse from Blue Sky Ranch.
Go to Blue Sky Ranch, purchase a horse. After you buy a barn, you have to have a barn before you buy any animal.
You feed it Fodder.
Unlike the Harvest Moon Game for Gamecube you can not make your Horse Jump.
You push it into the barn yourself~
Ride it around town a lot.
You can have Horse, Sheep, and cow
That is just how the game was made. There is no way for you to get a horse that is any color other than brown.
stand next to it and press Y
By Petting, and talking to, and hand-feeding, your hourse.
You have to buy them from the place where you can buy animals. Hope this helps. :)