Submissive urination is a normal way for your puppy to demonstrate submissive behavior. Even a dog that is otherwise housetrained may leave dribbles and puddles of urine at your feet when greeting you. Excitement urination with a puppy is usually caused by lack of bladder control. The puppy is not aware that he is urinating; he's just excited and any punishment will only confuse him.
When you have to leave the puppy alone, you’ll need to confine it to a crate. This will prevent the puppy from peeing and pooping all over your home, and will also help teach it control, since it won’t want to soil the crate. However, young puppies need frequent bathroom breaks, so you’ll also need to ask a friend or pet-sitter to stop by and let the puppy out throughout the day until it’s old enough to go for longer stretches without needing to use the bathroom.
One of the biggest mistakes new puppy owners make is expecting their puppy to hold it for longer than he is physically capable. The general guideline for puppy “hold times” is that each month of age equates to an hour of “hold time,” so a two-month-old puppy can hold it for roughly two hours. There are exceptions to the rule; your puppy should be able to hold it for slightly longer period of time at night as he gets older and you pup will need potty breaks more frequently when he’s playing.
Though it differs by each individual dog this is the time when most will come up with their own little way of letting you know they’ve got to go. It might be crying at your feet, ringing a bell you’ve set up or waiting at the door — just be sure to pay attention to these signals & follow up. Once your dog knows how to get your attention when he’s got to go you can relax a little and congratulate yourself on a job well done.