If your breasts are engorged, try to breastfeed as often as possible. A warm compress prior to nursing can soften the breasts and allow more milk to be expressed. Paracetamol can help with pain and the swelling. If your breasts still feel painful and swollen after nursing, try applying a cold compress. You could use a wet towel, or a breast compress that contains soothing ingredients which will simultaneously nurture the gentle skin around the nipples and prevent cracking. Also, a gentle massage of the breast prior to and during nursing can help with the milk flow. Your baby could have problems with latching on because of shortened nipples. If so, express a little milk first to make it easier.
If you are not breastfeeding, try expressing some milk by hand or use a breast pump. A well-fitted nursing bra that offers sufficient support can also provide some relief.
In case none of these methods work and your breasts are still engorged, consult your physician for further advice.