The umbilical cord is actually pretty simple, mamahunny. You can use new shoelaces, braided embroidery floss, or buy cord clamps in homebirth supply kits. Clamp or tie it with something about an inch from the baby and cut farther from baby's end with sterile and sharp scissors or blade. For me that's best delayed until the placenta comes and the first feed is done, if done sooner then you clamp 2 places and cut between them. Nurse the baby, look him or her over, mom pushes on her own belly some maybe to push out clots and get the uterus involuting, clean up, rest, keep feeding baby and keep resting. See a pediatrician soon for a checkup if you like, just tell them it was a homebirth. Beforehand see if in your state you can order the PKU/metabolic test paper if you want to do your own at 1-3 days old. Register the birth in the first week, lookup your state's procedure for that to be ready beforehand.
Care who you consult. Many midwives and all doctors are very wary of unassisted birth. Homebirth midwives in states that don't license or regulate might be more open and understanding about it, but most will warn you of the dangers, at the very least, since they are trained and experienced in handling complications as well as normal births. You would of course need to learn and prepare in case of complications, and be willing to transfer if there was trouble.