Weights/exercise to tone/streamline without bulking up? (Female losing weight).

Unless you are following a strict plank designed to bulk you up (including special diet, and workout regime) you shouldn't be afraid of it.
Weights and cardio combined will give you best results, and it will not bulk you up.

Pretty much nobody can bulk in a calorie deficit. The exception might be young men in their 20s who are consuming 2.4g of protein per lb of body weight. Even guys who are eating and training to bulk have a really difficult time doing so.

2nd recommendations for New Rules of Lifting for Women, Stronglifts 5x5, Starting Strength.