Caring for a 2 Month Old Puppy?

I'm getting a puppy soon, a Staffy/Lab/ cross. I have had experience with dogs, my brother and sister both got one, a Lab and a terrier. So, I'm not unaccustomed to training/walking, etc.

However, my parents are split up. My mum takes care of my brother and sister's dogs because my brother is at university and my sister is lazy. She isn't allowed more than two dogs where she lives. I spend half the time at my dad's and half at my mum's. My dad hates dogs, completely and utterly.

I am only allowed to get my puppy (eight weeks, his name is Tino :3) on the condition that I only keep him at dad's house while I'm there, and only if he's not allowed in the house. (My mum is allowed more than two dogs if it's only temporary.)

Now, I may not be a genius entirely about dogs, but I don't think keeping him outside constantly is a good idea. My dad is adamant, though. So I have three questions. First, would a Lab/Staffy get along with two other dogs, and four cats? Would it be okay to leave him outside? And, would it be okay for him to move between two houses? Thanks for your answers.

By Veritism