Go west and up the two flights of stairs to the item shop.
Talk to the merchant next to the clock for an encounter.
Exit south and go down one flight of stairs. Enter the building to the west.
Go north through the door, then west down the stairs.
Talk to the kid at the bottom of the stairs, then exit north.
Go immediately west, then south and west across the hidden bridge.
Continue south to the cafe. Inside, go up the stairs, east across the room, then down the stairs.
Talk to the merchant in the northern room for an encounter.
Follow the same route you took to exit the cafe.
Follow the same route you took back to the staircase with the kid.
Talk to the kid, go up the stairs, then go west and south to the room with the old man.
Talk to the old man, then return to the kid and choose "Courage" (option 2).
Exit to the south and take the stairs down.
Take the Elixir from the clock, then exit north.
Go east and south. Take the Fenix Down from the southern barrel, then enter the northern door.
Go west and up the stairs, then go east into the first door.
Walk north to the bookcase, then west through the bed to the western bookcase. Enter the secret passage north of the bookcase.
Go down the stairs, then follow the path until prompted to change clothes. Do so (option 1).
Continue south and then east into the hidden basement.
Get the Hyper Wrist and the Running Shoes from both of the cells, then return upstairs.
Go east and examine the first door for a scene. Name Celes C.
Enter the door, and choose to remove her chains (option 1).
Talk to the guard and steal the key (option 1).
Add Running Shoes
Exit south and go east into the last door.
Go north to the bookshelf, then go west and follow the path around.
Get the chest with 500 GP from above, then the chest with 1,000 GP next to the clock, then the chest with 1,500 GP from the closest chest to the east.
Go north to the clock in the northwest corner, then interact with it and choose to wind it (option 1).
Enter the new door.
To make things easier for later, you can start arranging your items while fleeing so Smoke Bomb is at the top and there are 4-5 open slots below.
Head east, ignoring the first fork that lets you go south.
Take the somewhat hidden southern path when the two chests to the east come into frame.
Continue south until the bottom, then go west and open the chest for some Earrings.
Go east, then north, and go into the first eastern hallway available.
Go up the stairs, north through the door (following a short scene), then exit to the world map east.