Well that's good you are so committed to him. That shows you'll make a good boxer mommy and they can be outside for periods of time during the day, etc. They love ot be outside but they just do better living inside on a regular basis with the family emotionally. When it gets very hot it can be just as bad for them as when it's very cold.
As for the biting it's nurmal puppy behavior. It is good for him to learn bite inhibition but if he bites too hard or on things he shouldnt you can do a couple of things. If he hurts you say OW really loud or make a yelping sound, get up and walk away from him ending play. If he is jsut biting and won't stop but not hurting you try redirecting him to a toy that is appropriate to bite on rather than your hand. They do learn but puppies are like kids, everything goes into their mouths at first. Do a search on biting in the forum and you will get lots of ideas on how to help that.
Good luck with him and can't wait to see some pictures!