When he bites you must take control. You either need to scare him (loud noises), pull away your hand and YELP (this is what a mother does in the wild), or pull away and ignore him completely for a while.

It sounds like your house isn't "puppy-proofed". Anything within reach or any breakables that can be knocked down have to be moved until he is mature and well-mannered.

Don't let him jump on you. Basically, when you can see he is going to jump you have to move away. This is the most effective way (usually) to train a dog not to jump. They become frustrated that you move and eventually quit doing it. However if you can't move before he touches you push him off with your leg, not your hands. If you use your hands, and especially if you do it gently, he will think "Oh, she's petting me".

When you take him out are you in a fenced yard or not? Either way he needs to be leashed until he learns to stay nearby, but if it's not a fenced yard he should have been leashed from the start. Don't let him off-leash in an area that he can run away from you unless if he has been trained to stay and come.

Having a puppy is both fun and annoying. My puppy is a "teenager" right now and she is rebelling against everything. It'll get harder before it gets easier!! Because of his breed and the fact that you have never had a puppy before classes would be the best thing for you guys. You will thank yourself in the end even if it is more money now. You won't want all the future training devices you will need and stress you will have if you don't take classes now! Trust me, I've been through it!

And classes will be the easiest and best way to socialize him with dogs and people!