How do you get a beagle puppy to stop biting you?

Unfortunately, hounds in general tend to be chewers - ask anyone with a basset in particular. It tends to be a lifelong trait. As for biting you in particular, they ought to grow out of it. Scolding it IMMEDIATELY when it has nipped you with a firm "No!" is often effective. There is absolutely no need to punish such behaviour in a puppy by tugging/pulling on its lips, biting back, shouting or hitting - all this will do is teach the puppy to become defensive and possibly scared, which ultimately may make the biting worse.