Buy some of those really thick cotton "training pants". Not pull-ups. They are much much easier to pull down than regular panties or pull ups are.
And they will absorb a little bit if she tinkles a tiny bit... but she WILL still feel it and it WILL go through to her clothes.
I would keep her in dresses so that she only has to deal with the panties/training pants, and not pants on top of that.
Congrats on her doing so well so early!
:)
Oh.. as far as what to do when you go running errands or leave the house for play dates and things...
Always let her know that you are leaving to go somewhere and that part of leaving the house is to go use the potty.
Then, when you get to your destination (the grocery store, the restaurant, somebody's house, etc) let her know as you are helping her out of the car and walking inside that "if you need to use the potty let me know and I'll show you where it is". That way she knows that there is one there for her to use and that YOU can show it to her. She doesn't have to go off alone in an unfamiliar place. It used to drive me nuts that every time we went somewhere, within 5 minutes of arrival, my daughter would tell me she had to go potty. I think she just liked figuring out that every place had one, and that they were all different! It was great fun for her!! And she would talk to me the ENTIRE TIME she was using the potty.... lol