I personally despise pull-ups. I don't think the kids can tell a difference between that and a diaper and doesn't reinforce the 'no pottying but on the potty' idea. I think it should be taken in stages following the cues of the kid. It sounds like she is maybe ready for the beginning steps and for lots of encouragement. Here's how we did it and it worked well, I think.
We got the potty chair out really early....actually around 14 mo...just so she was used to seeing it. SHe would play with it, sit on it, take it apart, explore. I wanted her to be comfortable with it. When she started doing as your daughter is doing, I started taking her. I didn't put her in panties but took her to the potty. I would take her first thing when we got up and before bath. I then progressed to just taking her more often. If she fought it, I let it go for a week or so, but she was pretty excited about it. I also am a fan of rewarding. She got 2 jelly beans when she pottied, and a laffy taffy when she pooped (now we substitute whatever is available and she's ok with that...gummy bears, M&Ms, Skittles for potties, mini candy canes, halloween-sized kitkats or nerd, that type of thing for poopers). We also got REALLY excited when she went...and we invented the potty dance and song, which we still do sometimes, even in restaurants :)
We had a huge setback when my FIL died and the house was upside down for awhile, and another HUGE one when she started daycare. part of that was training the daycare!She gets stickers at school for going on a paper, and if she is dry all day and in hte same clothes when I pick her up (unless she spilled lunch or paint or something) I take her a pooper-size treat. Its a game of finding her treat in my pocket :) They made her wear pullups for awhile at school until I refused to bring them. They are SOOO big for her (she is very tiny) they rubbed her little legs raw, and she would potty in them but wouldn't if she had big girl panties on. Sure there were accidents, and we had plenty of accidents at home, but its to be expected and gets better.
Try to have fun with it and follow her cues...but you still have to lead her into it. Just go slowly and she'll catch on!