To unlock the Achievement "Garbage Collection" you need to find and destroy all 10 Vacuum Bots on the Minerva's Den DLC. It's devided into two chapters. You'll have to destroy the first 5 Vacuum Bots of the first chapter before you start the second one because you wont be able to go back once you started the second chapter.

Just follow the order below:

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  Vacuum Bot #01
  
  
  
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  Vacuum Bot #02
  
  
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  Vacuum Bot #03
  
  
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  Vacuum Bot #04
  
  
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  Vacuum Bot #05
  
  
  #Note: To get this Vacuum Bot you will need the Gravity Well Plasmid.
  Go back to the Location where you destroyed Vacuum Bot #01 move on a bit and turn into the first room to your left. You'll see the room which can be opened with the mentioned Plasmid.
  
  
  

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  Vacuum Bot #06
  
  
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  Vacuum Bot #07
  
  #Note: Actualle the Cursor is showing the Place where you can play the Spitfire Game.
  You will have to reach 9999 Points zu unlock this secret Achievement called "High Score"
  
  
  
  #Note: To find Vacuum Bot #07 just turn left, go through the door and follow the bridge untill the end. You will see the Bot in the right corner. At this Place the Map doesn't show the current Location
  
  
  
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  Vacuum Bot #08
  
  
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  Vacuum Bot #09
  
  #Note: Near Vacuum Bot #08 is an Elevator which will take you to Level 1, where you'll find #09 and the Incinerate! Plasmid.
  
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  Vacuum Bot #10