If you have a Pokémon who knows the “Fly” move (HM02), you can simply fly to Celadon City. [2] X Research source If not, reach it from Fuchsia City via the Bike Tunnel (Route 17) or from Lavender Town via the Underground Path. [3] X Research source
Since you’re already at the Celadon Mansion, you may want to take the time to visit the second floor, where you can find information about Erika, the Saffron City Gym leader. This is a must if you’re attempting the Fame Checker sidequest. [5] X Research source
The only way to get into a fight on Route Seven is to walk through the patch of tall grass above the path you need to take. This isn’t necessary to get to Saffron City, however.
Congratulations! Exit the building to the right and you’ll have made it to Saffron City!
To fly to Saffron City, select a flying-type Pokémon in the Pokémon menu who knows Fly, then select “Fly” from the menu and select Saffron City on the map. Saffron is the city at the Center of the “cross” on the east side of the map. [6] X Research source
From the north: Starting in Cerulean City, head south through Route Five. Note that the northern end of the Underground Path exits into Route Five. [7] X Research source From the south: Starting in Vermillion City, head north through the winding path of Route Six. Note that the southern end of the Underground Path exits into Route Six. [8] X Research source From the east: Starting in Lavender Town, head west, following the road through Route Eight. Note that the end of the Underground Path exits into Route Eight. [9] X Research source From the west: Use Route Seven as described in the section above.
To get the bike, you must take the Bike Voucher (obtained from the Pokémon Fan Club in Vermillion City) to the bicycle shop in Cerulean City. Normally, the bike is 1,000,000 Pokémon dollars — one more than you can ever obtain in the game.