I have so been there. I think this is one of the biggest SECRETS of bearing a child/nursing that NO ONE tells you...that you look like Dolly Parton for weeks after your milk comes in. And you'd love to think that'd be fun - NOT.
1. Get an electric breast pump. You can rent one relatively cheap through a local lactation consultant - check out the Le Leche site or talk to your OB. Also check out eBay and Craigslist if you plan on doing it long term/returning to work/having more children. You can buy an inexpensive manual one, but I'll tell you, it's not a great long term solution - it's slow, hurts your hand to keep pumping, etc.
2. To give you some relief, before feeding, use warm compresses or a heating pad on low to help "stimulate" your breast to let down, you can manually pump a little milk, this will soften your breast and allow your baby to latch on better AND relieve some of the pressure so milk shooting out of your breast doesn't gag the baby. Plus, by using the warm compress, it will help loosen any "lumps" of full ducts so they don't become infected or clogged (talk about painful).
3. AFTER nursing or pumping, use cold compresses. This will help reduce inflammation and slow down production (not a lot, but enough for some relief).
4. Use cold cabbage leaves!!! I know this sounds wierd, trust me here. ANYWHERE you have inflammation or healing (boobs, in your pants "down there" on c-section incisions, etc). They are cool, flexible and have natural properties that help healing. I wore them in my bras day and night for a couple of weeks. I've also done this on a surgery scar and you can't see it! Supposedly the leaves draw out impurities that cause those big, wormy scars. I've also used it for hemmoroid issues too - sorry if that's TMI. But when you're desperate for some cooling relief, it's a welcome natural solution that's CHEAP.
5. I agree, pump now while you have so much. Your body is designed to regulate itself. So it's really full right now as it's come in to ensure your baby/babies have enough to eat. Then it will taper off. If you can keep pumping at least once a day, you'll have a nice frozen supply for later. I'd suggest getting Daddy to start helping too! At about 2 weeks, try 1 bottle a day. Maybe Daddy can take the last feeding at 11pm to let you get some sleep?
6. I used one breast per feeding. I know some people always used both. But for me, it kept it easier to have "one" to feed, and one to pump. I always had plenty of milk then, even during growth spurts. And I had a nice supply in the freezer too. Never any stress if I needed some more sleep or we left the baby with grandma and grandpa.
I'm sure even without all of our advice you'd be just fine. But I'm with you, why tap the Mama's for some relief?
Best wishes to you and your LO. I have three, and just stopped nursing my last LO - I BF'd all of them, and later used some formula. Feel free to msg me with ANY questions. I've so been there, done that.