Dress the Part
Many women feel that special clothes are not necessary for easy breastfeeding, but once they try nursing garments, these women will likely change their minds. Clothing designed specifically for breastfeeding provides discretion as openings are hidden within deep seams or overlaying fabric—think of a crop top over a regular shirt. I am convinced that it is the visibility of a woman's stomach, not her breast—which is usually masked by a baby's head anyway—that is the tip off to breastfeeding. Whether you prefer jeans and a T-shirt or a dress, nursing clothes will keep you covered.
Use Your Baby Carrier
Most baby carriers today are designed to make nursing easier. When choosing a carrier, keep in mind the size of your breasts, the size of the carrier's openings and your baby's adeptness at nursing. I once owned a British front pack with nursing openings that fell below my breasts—no matter how much I adjusted it.
The most nursing-friendly carrier I have found is the Baby Sling. To nurse, simply pull your child close to you and tighten the fabric for a snug fit. If you prefer to have your child in a sitting position, lower the sling until the baby is aligned with your breast. The sling also has plenty of extra fabric to cover your child while nursing.
When our children were younger, my husband gladly took the opportunity to read the newspaper while the baby was nursing. He got a short break, and we were hidden behind the paper—a great trick especially when on an airplane where there is never any privacy no matter how discreet you're trying to be. If you're alone, try reading a book, preferably a paperback so that you can turn the pages with one hand, this also provides a welcome "do not disturb" sign.
Of course, the best solution is to nurse your baby right before leaving the house. When this is not possible and you're confronted with odd stares or impolite comments, take comfort in knowing that you are doing the best thing for your baby's health and nutrition.