Mill or router is the other one of the most basic machining tools.
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Straightening the work piece for accurate machining:
Attach the work piece to vice loosely. Use parallels if needed under the part. When part is where you want it, gently tighten the vice. Gently hit the part with plastic hammer until the part is really on the bottom of the vice. If using parallels, check if they move. As long as they can move, part is not aligned well.
After all seems good, make final tightening of the vice, and then still hit the part with plastic hammer to be sure its there.
Bring the work piece under the mill:
Start the mill and slowly bring the piece up, so the tool touches it ( this part had so rounded edge that there was no need to be careful with the touching as lot of material needed to be taken away anyhow): Zero your Z-axis here.
Move the work piece away from the tool:
Take needed amount of material away. Normally 0,5mm is good approximation but here I needed to take 1mm to get even surface:
Make sure the surface is what you desire and detach the part.
Normally burrs can be found from the machined part edges:
These will destroy any efforts to realign the part to the vice, so always remove them.
After the first surface is straightened, turn the piece 180 degrees, and do the same procedure for the opposite surface. This time you don't have to detach the part but you can machine it to the desired dimension in case you can measure while it is in the vice. If not, then mesure it before clamping after both surfaces have been straightened. With last straightening machining, leave the z-axis untouched, measure the work piece, and put that dimension into Z-coordinate. You can also make light touching to the workpiece with rotating tool, and have that define the plane level.
Note how: in the pictures the work piece is bit out from the clamp. This allows machinist to measure the part easily while it is being machined. Meaning the part will be more accurate because of easier measuring and because it doen't have to be taken off from the clamp.