RE differential oil change 2007 E350 (base).
Save yourself headaches and order a Plews model 55001 1-Qt. Lubrimatic Fluid Pump.
US$6.10 on Amazon at this writing.
Using the Plews pump I spilled maybe ten drops of oil on the floor.
Screws onto top of Mobil 1 gear oil bottles.
The Mobil 1 gear oil bottles have a gauge on the side of the bottle.
Do the math to pump in ~1.17 liters of oil. If the car is flat, the oil will start to run out of the fill hole when you reach ~1.2 liters of oil.
Remember, always take the fill plug off first (in case you can't get the drain plug out, you can halt the project).