We buy a lot of organic produce and meat, and exclusively organic milk, and yes--it *does* get pricey sometimes. But here's what I do to keep the cost as low as possible:
1. Read up on which crops are more heavily pesticide-treated than others, and choose your organics accordingly. Some fruits, like berries, for example, are huge sources of pesticides so you're better off with organics than not. (Strawberries come to mind--I only buy organic strawberries, and if they cost too much, I get something else.) Avocados and bananas are not as heavily sprayed, so I buy conventional fruit in that case.
2. Look for a grocery store that offers an organic store brand. Giant does this in their Nature's Promise line. (That might not be exactly the right name, but it's close.) Their prices on organics are usually comparable, and sometimes even lower, than their prices on conventional items. This is usually the case with carrots and broccoli, though I don't know why that always seems to be the case. I just know we eat a lot of carrots and broccoli in our house. :-) Just read the labels carefully, because the "naturals" line is packaged very similarly to the "organics" line. I'm happy with either one, but you may not be.
3. Supplement your regular grocery run with a trip to Whole Foods, which has a lot of organic options and buys larger quantities of organic foods. So they'll often discount organic items that a conventional grocery store wouldn't. They also do a great job of labeling their products so you always know what you're looking at.
4. If you can, shop more than once a week and buy in smaller quantities. Organic fruit/veggies/meat is even more expensive when it spoils before you can use it. ;-)
5. Whether you're buying organic or not, get a store discount/loyalty card. Sometimes you can save a lot that way, and the targeted marketing (which annoys me in concept, but seems worth it in the end) often results in coupons you get at checkout for things you'd buy anyway. My receipts show a total bonus card savings of over $100 on January groceries alone.
And, of course, if you have an organic co-op or community farm nearby, it's worthwhile to look into buying a share. I haven't done that yet, but friends and family who have done it say it's a substantial cost savings and a lot of fun since there's always an element of surprise regarding what they'll send you.
One last thing, which is something I've recently considered and need to follow up on myself: If you can, find out what organic treatments are being used on these crops. Sometimes something is organic, but not necessarily harmless.
Looking forward to seeing everyone else's ideas; I could stand to trim my grocery bill a little more, too!
L.