I'm going to copy/paste what I put on the other post...
DO NOT GET AN IUD THIS EARLY AFTER DELIVERY! I've had 3 friends get an IUD 6-10wks after delivery and have had it implant in the uterus. Its also the biggest warning you can find online when doing IUD research. Because your uterus is still shrinking and changing up to a year after birth, its not wise to get an IUD until you are around a year post partum. I know that both Mirena and Paraguard ok their use from 6wks post partum, but its just not wise. Talk to your doctor. I got mine put in at 17mos post partum and have had no problems, but almost everyone I know who had one put in before that 8-12mos post partum mark has had big problems with it implanting in the changing uterus, or with massive hormone surges. I think if you are nursing and this early post partum, using condoms is a good choice to not mess with your hormones and so your body can return to its normal pre-baby state without anything there to hinder the process.
Now that being said, it won't affect your milk supply. I had mine put in at 17mos post partum and I was still nursing, and he went on to nurse for another 8mos after that without a problem.
Congratulations on your baby!