Just relax and live life normal.... You will know when you're water breaks and labor begins. If you go to the doctor, chances are they will send you home. And losing the mucus plug and water breaking is NOT the same thing. Go take the bath and relax!
You can take a bath just make sure that it's not too hot. Also your water might not break on its own. You will know when your in labor when you have regular contractions. Right now it just means that you are close to having your baby.