To replace the separator, you need to remove the hose(s) from the top, then the two mounting bolts down the side (I think they have 10mm heads). On the bottom of the separator, there is a squeeze clamp. Use some pliers to squeeze and remove the clamp.
Don't reuse the spring clamp.
When you put the new separator on, put the bottom on first and use a new stainless steel screw down clamp. There is a TSB that suggests replacing the squeeze clamps with screw down types as you do maintenance and remove the old clamps. They can weeken after being removed and cause leaks. Tighten the clamp down so it stays attached, but leave it loose enough so it can rotate. Put the two mounting bolts in and finger tighten them to hold it in place. Connect the hose(s) to the separator, then tighten the mounting bolts and clamp on the bottom of the separator.
If you have the time, you should replace the "J" hose that goes in the top of the separator. There is a TSB recommending it since the accordian folds can eventually crack and cause vacuum leaks. I bought the hose, but did not get to replace it yet, so I can't give you any info on that. Mine had oil in it too, but it runs well and no codes, but I will replace it when I get the chance.
Good luck!