When I was still a beginner farmer in hm I had a lot of trouble taking my chickens outside because when I put them on the ground the would get angry/annoyed (from the scribbles over their head.) They are acting like that because YOU HAVE NOT FED THEM YET. Two ways to avoid this: 1.) Feed them before you go outside (you buy the food at Neils store) 2.) Get a blueprint with the chicken feeding area so you can feed your chicken once you get outside
Below are some of the other cows that you can get in Harvest Moon: A New Beginning, as well as instructions on how to get them.
Old-Style Cow: This cow has been in previous Harvest Moon games, and is distinguished by being a simple black and white cow with no other features. You can get this cow as an alternative prize for winning the Cow Festival in Fall 04.
Larger Cow: These can be seen in other players' games, and have 10 hearts and give 5 products.
Jersey Cows: The brown cows are given by either having 3 cows born on your farm, or in Fall of Year 2.