Just wanted to add a few important things to the advice you received. First off, i've met many people that did the 3 days thing or day thing with great success, so i agree that that must work. Secondly, I wanted to address the caveats people posted a bit, becaue they are on target but i took a bit of a different approach and it might help you. I've potty trained 2 boys and both trained really young. here is how it went. (and this is just to show you how much it varies from child to child, same mom, same circumstances!)
First child-totally surprised me when he took off his diaper around 11 months (he walked early, so he had been walking a few months before this). Anyway, he took off his diaper and carefully peed on it (didn't miss a drop!). when i saw that, i realized that i should go buy a potty chair (this was in 1998). so i went and did and he took to it immediately. loved it! that child never had "accidents" period. At 14 months we took him on a trip and he peed and pooped in the potty the entire time (we took potty chair and would stop if he had to go (my parents idea, not mine)(but it worked well). he peed at his other grandmas house and pooped on her potty and she was amazed. Anyway, i want to emphasize all this was nothing I did, the kid was just ready (and he's mentally advanced too, as well as an athletic child, so im sure that helped) but at the same time, i 've learned a lot since then to know that even children that are not as advanced could probably do what he did if they were motivated. My kids have big bladders too and were dry when they would wake up in the rmoing when i would check the diaper (even though they drink a lot) so nighttime was never an issue in this family.
Second child, i KNEW not to expect that he would necessarily train anything like the first one. IN the interim (7 years) between children I had learned about EC (Elimination communication) so this time around (2004) I bought a BBLP (Baby Bjorn LIttle potty). I kept it available from the time he was just crawling even and he enjoyed peeing it from time to time. Basically, the theory behind that whole thing (EC) is that you are letting them be able to go potty in teh same way you do, whey they are ready. So we worked with him and if we knew he had to pee, etc. we'd try to let him do it in the potty (the BBLP) or a big potty whenever we could. Peeing he liked to do in the BBLP, but he only pooped like once in there and must not have liked how it was, because he woudn't do it again. I bought various things for the big potty and he did finally take to it, with a lot of that happening around 18 months (which is a common potty training window of opportunity) . they aren't as stubborn as older toddlers yet nor as resistant to moms ideas. So they still feel like they have more control, even though you are suggesting whereas when they get older, they get even more independent (which is good, but i personally like to potty train BEFORE they hit that stage). Anyway, before he was 2 or right around his second birthday he was always peeing and pooping in the potty, no accidents. However, as i mentioned earlier my first child NEVER had an accident. SEcond child, totally different personality and he would sometimes pee somewhere just for the fun of it almost (at 14 months and stuff). So i did have to clean up pee and all , (but i've had pets before!) so i just learned how to clean up really well and do everything I could to minimize. I knew that it was worth it because i knew that he would be trained and totally out of diapers before age 2 and he was and without me forcing, cajoling, etc. So, every child IS different but i just really don't like changing diapers, so I liked doing it the way we did and if i had more children, I'd go the EC route again, probably even work at it a little harder, as i was very lax with it. Far as the age of your daugther, i'll just say that its good you are starting now rather than age 3, as you may still have hit the "window of opportunity". you'll know if you have or not after a week or two and if she's already stubborn then something like the one respondent posted may be all that will work for you at this juncture :).