I don't teach or recommend so-called "purely positive" methods that allow misbehaving pups to continue misbehaving, instead of teaching them which behaviors are and are not allowed. "Purely positive" is fine for teaching tricks and high-level competition exercises, but NOT for teaching the solid good behaviors that all family dogs need to know, and NOT for stopping behavior problems such as barking, jumping, chewing, nipping, chasing, etc.
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.
Effective dog training does not require many items, but there are a few basic supplies that will help make the process more convenient and effective. Choose a dog collar or harness that is suitable and comfortable for your dog. Then decide which dog leash is best for training. A retractable leash is not appropriate for dog training. You will also need dog training treats that your dog enjoys and are easy to eat quickly so the reward is more immediate. There are plenty of great treats available at pet stores or you can also use something you make at home, like small pieces of plain cooked chicken or turkey.
You may also notice common behavior problems in your dog such as jumping up, barking, or even aggression. The best way to correct any misbehavior is to interrupt it. Shift your dog's attention to something positive. Try running through cues that your dog has mastered followed by rewards. Keep your demeanor cool and confident, and be clear about what you mean.
It’s best not to punish the puppy for making a mistake. Instead, focus on praising appropriate bathroom behavior. If you catch your puppy in the act, interrupt it by saying “No!” in a firm voice or clapping your hands loudly, then take the puppy outside to finish going to the bathroom. Never swat your puppy, yell at it, or try to rub its nose in the mess.
The process is the exactly same for older dogs as it is for puppies; prevent accidents from happening by using baby gates and a crate if possible, create a predictable schedule, learn to recognize your dog’s potty signals, accompany your dog outside and immediately reward for all outdoor elimination, properly clean any accidents and supervise your dog until you’re sure that he understands the rules.