How do you get out of cerulean citi and in to vermilion city?

Walk to the house with the cop next to it, walk through the hole, defeat the Rocket Grunt, then walk down the path. A lot of trainers will come through the way too, so make sure your Pokemon are healed.

Get Cerulean Gym's badge and the S.S. Ticket from Bill on Route 25, then you can go through a house that was destroyed by one of Team Rocket's grunts (you'll have to battle him and get TM28 (Dig) ) to get out of Cerulean. You must go through the Underground Path to enter Vermillion.

Go to Route 24 (the route directly above me). Defeat the Nugget Bridge, and defeat the trainers along the way (going to the right). Once you see a house, go in it. You'll see a pokemon. He tells you that he is Bill, and he needs help. Help him, and he'll give you the SS Ticket. Go back to Cerulean City. You'll see that the house the policeman was blocking is now unblocked. Go in it, then go through the hole. Battle the Rocket, then go on your way to Vermilion City (south).

Go to Route 24 (the route directly above it). Defeat the Nugget Bridge, and defeat the trainers along the way (going to the right). Once you see a house, go in it. You'll see a pokemon. He tells you that he is Bill, and he needs help. Help him, and he'll give you the SS Ticket. Go back to Cerulean City. You'll see that the house the policeman was blocking is now unblocked. Go in it, then go through the hole. Battle the Rocket, then go on your way to Vermilion City (south).

Go to Bills house. Get the ticket, then go through the robbed house. Fight the Rocket Grunt, exit out the back, and go through the underground path.

Beat the Team Rocket Grunt then go to bills houst then beat the other grunt then use the shortcut hoouse then get through the route then you reach vermillion city.