I just use knickers on Nina during the day, and for her day sleeps. At night we use either her cloth nappy, or just a pull up disposable. It won't be long and she'll be wearing knickers to bed at night as well. Her nappy is usually dry in the mornings.
I do have some of those training pants you mentioned anna, and they're good if we're going out. They hold in the wee better than undies (in case she has an accident).