Once you get a dog to stay on your farm, you'll have to train him with the Flute, once you get it. To do so select the Flute, press X, then use the following button presses in order to get him to do what you wish: 

Sit: UP, LEFT, DOWN 
Down: UP, DOWN, DOWN 
Heel: LEFT, RIGHT, RIGHT 
Drive animals: RIGHT, LEFT, RIGHT 
Jump: LEFT, UP, RIGHT 
Sit up: DOWN, UP, UP 
Power Berry Locations 
To get the Power Berries scattered around the land, look in these places: 

1. In your pasture. 
2. Visit the Harvest Goddess. 
3. Visit the Harvest Sprites. 
4. Go fishing. 
5. Trigger the "Sacred Land" event. 

How to Get the Horse: 
To get the horse, you'll have to visit Bob's farm quite a bit. Do part-time work taking care of his horses and cows and give him lots of presents. Eventually, after a solid chunk of work (a season or more), he'll bring a horse to you. 

How to Get the Dog: 
When you begin the game, you'll notice several stray dogs wandering around. If you approach them, they'll run away. To woo a dog to your yard, keep putting food in his bowl. Anything will do: grass, eggs, berries. When you place these foods in the bowl, they immediately turn into doggie mush. After a while, you will notice the dog appearing at your farm more and more. Keep trying to pick up the dog (X). At some point, he will let you pick him up, and he will be yours! 

Birthday List: 
It's important to give townspeople greetings and gifts on their birthday, to get in their good graces. Here's a list of all of the birthdays in town: 

Ronald the Supermarket Owner: Spring 11 
Wallace the Cafe Owner: Summer 1 
Katie the Cafe Waitress: Fall 29 
Louis the Tool Shop Owner: Fall 2 
Lyla the Flower Shop Owner (and cutest girl in town): Spring 27 
Parsley the Plant Hunter: Spring 16 
Bob, owner of Brownie Farm: Summer 1 
Tim, Bob's little brother (the treasure hunter): Fall 12 
Gwen, the Carpenter's daughter: Summer 8 
Martha the Clove Villa Maid: Winter 25 
Gina, the Maid's daughter: Fall 20 
Dia, Clove Villa daughter: Winter 9 
Woody the Carpentry Shop Owner: Winter 2 
Joe the Carpenter: Summer 10 
Kurt the Carpenter: Winter 10 

What the Townspeople Like: 
Here's a list of what the various townpeople really enjoy. Give them these presents in order to get on their good side: 

Ronald the Supermarket Owner: Cake 
Parsley the Plant Hunter: Herb Tea 
Lyla the Flower Shop Owner: Pink Cat Flowers/Blueberries 
Wallace the Cafe Owner: Tea/Fish 
Bob, owner of Brownie Farm: Sweets 
Joe the Carpenter: Fish 
Katie the Cafe Waitress: Cookies/Cheese 
Louis the Tool Shop Owner: Eggs 
Tim, Bob's little brother: Eggs/Cake/Tea 
Gina, the Maid's daughter: Fish/Eggs 
Dia, Clove Villa daughter: Blueberries 
Kurt the Carpenter: Tomatoes 
Martha the Clove Villa Maid: Cheese 

Hint: Cheap Chickens 
To get chickens at the very beginning of the game for almost no money at all, go to the supermarket that you can see when you leave the farm. Go in there and buy an egg for $50. Put that egg in the incubator in your chicken coop and in a few days you will have a little chick! Then it will turn into a chicken and you can get eggs for free. 

Event Triggers: 
To trigger an event you must befriend these people: 
Treasure Hunt 1: You must befriend Tim. 
Treasure Hunt 2: Same as number one. 
Cake Contest: Befriend Katie. 
A fishy Story: Befriend Joe. 
The Bluebird: Befriend Louis. 
The Azure Swallowtail: Befriend Lyla and Kurt. 
The Goddess Dress: Befriend Gina and Dia. 
The endangered Weasel: Befriend Gwen. 
The Horse Race: Befriend Bob and Gwen