There are plenty of rackets to choose from, with the standard particularly good, even at the lower end of the scale. Rackets for beginners and junior-sized rackets are relatively inexpensive, but don’t just go for the cheapest — choose one that matches your body and grip size. Ask for advice from the sales assistant.
Don’t assume that once a string has broken the racket is no good and should be thrown away. If it is a good one, it may be worth having it re-strung and having the tension adjusted to suit your play.