Oh....it so depends on the kid. With our first we took it away cold turkey when she was 21 months. We picked a long holiday weekend to do it. The first night she cried for 20 minutes or so and each nap and bedtime was better.
Now with our youngest who is 22 months, I do not see it going that smoothly. AT. ALL. We've limited her use to just nap and bedtime and have been talking about giving it up to babies who need them and how old she is getting.
I've also been waiting for her to have a better vocabulary to talk about what we are doing. It is going to be HARD.
The only advice I would give is to put it off for a bit longer and then try it again.....but don't give in. Go into it knowing once you start you can't give in. So hard isn't it!?!?!?
It was also good to read that no one thinks 2 is too old. :) That buys me a little more time, right??