Congrats on your new baby!!! Hope you're getting some rest!
While you're engorged, you just want to nurse enough to get rid of the engorgement. Also, look at some of the other tips to relieve engorgement (hot shower, knead the breast,etc...) But it should go down soon anyway- the initial engorgement of your milk coming in is different than if you get engorged later on.
If your lo still seems hungry after one side, still offer the other side. This encourages your supply which is what you want to do at this point.
Also, my personal opinion is to not be too worried about EASY at first. They are so sleepy, there will hardly be any "A"- and the biggest thing is to set up your nursing "routine"- but that is also just a guide at this point. If your lo seems hungry, go ahead and nurse b/c that will help establish your supply.
Hopefully you'll get some more suggestions.