On this page of our guide to BioShock Infinite you will find the first part of a detailed walkthrough of Chapter 13 - Finkton Docks. Exploration of most of the docks is allowed, but there are also areas (including a room with a safe) where Booker is not authorized to enter and an alarm may be triggered. Detection will result in a battle with police officers supported by mosquitoes and Patriot.
This chapter will begin with a hard landing. Enter the shipping center located to your left and check the area between to desks located next to the left wall to find Voxophone #34.
You can explore most of the areas in the docks without any restrictions, however entering a barge located to the right will result in a hostile reaction from its guard. If you attack this person you'll also have to deal with nearby policemen and Mosquitos flying above the docks.
There's a freight elevator in the middle of the docks. Head up the stairs and explore the room where some workers are cleaning the vending machines. You'll find some money here, as well a lockpick.
Enter the building with the "employees only" sign located at the other side of the docks. Notice an opened safe containing a lot of silver and Gear #14 - Legs. If you've been avoiding confrontations so far, then you must know that taking any items from this office will force you to deal with a bunch of policemen, Mosquitos and a Motorized Patriot.
Once you've cleared and fully searched the docks proceed towards a tunnel located near the building with a safe. Check the area behind the pillar before entering this tunnel and you'll uncover one more lockpick.
Reach the opposite end of the tunnel. You'll notice several crashed gondolas here. Look around to find salt (Shock Jockey bottles) and a passageway to the next chapter.