I gave birth 13 days ago and ate my placenta! My wonderful, wonderful dh prepared it for me. He gave me 2 small pieces to eat and then blended the rest with a whole bunch of fresh squeezed orange juice. He said he removed as much of the maternal side as he could, but it didn't seem to be as much of it as I thought there would. We saved the non-consumable bits to bury either in our vegetable garden or under a special plant.
I've been a vegetarian for 10 years and a vegan for 2. I can't say that eating the placenta was a problem for me in this respect. It just didn't seem like eating meat to me. The pieces I ate plain were soft and slippery and just had a mild metallic taste, like blood (well, obviously, I guess). I did gag just a little on the second piece. I really, really recommend the orange juice option though! It just tasted like pink, slightly foamy orange juice. I couldn't even really tell the placenta was in there. Maybe when it comes out of your own body you'll be less inclined to see it as meat?
Anyway, I really have nothing to compare it to as this was my first birth, but the dizziness and unsteadiness I felt right before I had the placenta were completely gone right afterwards. I've had a very light lochia from the beginning. No sign of PPD. My milk came in almost exactly 48 hours after the placenta was born. Not sure if any of this is due to the placenta consumption, but I'm glad I did it!