Hi H.,
I stopped nursing my baby boy Sept. of this year. He was 15 months. After about 12 months, I knew that his nursing was purely for comfort, and not so much for nutrition. He was eating everything that the rest of the family was eating, even taking his liquids (water, juice) from a sippy cup without a hitch (I have a son 1.5 years older than him so he caught on quickly). Anyway, when it was time to go to sleep and often through the night (kinda like newborn-ish) he would nurse. After 12 months, because he's growing so much and got his nutrients and liquids like a big boy, I decided nursing was no longer necessary. (I was only the human pacifier). So at about 15 months, I said one day that was it, and we tackled it cold turkey. It took about 5 days, I had to be strong because no one wants to be the source of their baby's discomfort. It was a decision I was determined about (also that same week, I tackled potty training my then 2.5 year old...NO MORE BUYING DIAPERS AND PULL-Ups).
So in answer to your question, we tackled it cold turkey. I'd tried different methods people suggested (laying him down with a bottle and snuggling with him, trying to distract him at nursing times, etc.) none of it worked, he never liked any other nipple but mine..no pacifier, I bought ever bottle under the sun. So he did cry pretty much the first and second nights (more the first than the second) and each day it got progressively better. I made sure all the rest of the needs were taken care of: well fed, plenty to drink from the sippy cup, bathed, diapered, warm(or actually cool because it was August here in sunny So. Cal) and then we just laid down together and I comforted him the best I could. It did help that I adjusted his daytime nap to a little earlier time and made sure he played heartily so he would be nice and tired.
By about day 4, his cries were mere wimpers, and day 5, we wimpered only a bit, and we have been pretty good since. Occasionally, he did try to reach into my shirt and help himself (they'll get bold like that the older they are), he's pretty cool now. While being put down for bedtime now, he does pat me as if he's reminiscent of what once was, but he's a little trooper.
Now if we could just figure out how to get them to stay in their own beds at night and stop waking up at midnight like clockwork..........
I hope this dissertation helps :-)