To get started, it helps to have individual time with each baby to establish the bond between mother and baby, as well as get the baby comfortable with breastfeeding. My twin boys never did learn how to latch on, so I have had to use a nipple shield to help them.
A godsend is the EZ Nursing Pillow, which can be found on Ebay or any Mothers of Multiples sales. The ideal position to get the twins used to eating at the same time is to hold them football style. One baby will go on each side, help each latch on, and the pillow acts as the support to hold up the baby. This gives you one hand to support each baby’s head.
If you are not comfortable with tandem nursing or your babies do not react well with sharing, the best thing to do is to allot each twin with 30 minutes to eat. Dedicate that 30 minutes to one baby only to eat, burp, and change. You can either switch breasts per baby or put Baby A on the left breast and Baby B on the right breast, and then switch which baby goes on which breast for the next feeding. If you get tag-teamed and both cry at the same time for food, find an avenue to distract the second baby. We have used a vibrating chair, swing, and more recently a jumparoo.
Make sure you establish a good milk supply to keep up with the nutritional demands of your twins. It is best to rent a professional hospital grade breastpump for at least the first month. During the first two weeks, try to pump after each feeding. At first you might not get much since each baby might take almost all the milk supply, but it is amazing to see how much more you begin to pump as the days and weeks pass. After two weeks, you can go to every other feeding or every third feeding to pump, until your milk is well established. It is still good to pump once a day, but after three months, this is a personal choice since your body is used to fulfilling the needs of your twins by this point.