You can walk your puppy as often as you like on your own property for now. Concentrate on getting her/him comfortable walking on the leash. Wait until she/he is 4 months, and has had all of her/his shots before walking her/him outside of your property. Even then, your puppy is still young, so you only need a short walk. Work your way up to longer walks as time gooes by.
Animals, what animals? My children just have alot of hair!