T. - I come from a family where 18-24 months is just what we do. And I'm glad I had that in mind, because I've come more and more in contact with families who have swallowed the whole "allow your child to lead you" sham and then get stuck with a 4 year old who can't participate in Parks & Rec programs or preschool because they're still in diapers!!
If your daughter is showing signs of readiness (knowing where you put your pee, telling you when she's got a dirty diaper,etc.) then it's a great time to start. I'm training my third daughter right now, and she just turned 17 months old. Each daughter has been different, but we just try to be consistent and work with each personality.
The main thing is that you are ready to get into this. You have to be patient, clean up a lot of puddles, and stay consistent. If you start now and then give up your daughter will be in for a long haul.
I would recommend getting some of the thicker training pants or pull up style cloth diapers. Your daughter can tell you when she has to go, and you can work on noticing her signs, too. Also, just make it a practice to go sit on the potty every 30 minutes or hour. When she goes in the potty, jump around clapping and cheering for her so she makes the connection that this is a great thing to do. Once she understands the process and it's a pleasant thing rewarded with high fives or hugs, you will be well on your way to having a diaper-free baby!! Blessings!