Many schools offer different kinds of bachelor's and master's degrees depending on your desired concentration. Some of these degrees focus more on performance and production. Others combine their teaching of production skills with a broad liberal arts education.
Doctoral programs, however, are mainly intended for people who want to pursue extensive research or teach at the university level.
Acting in or working for various community theaters helps to get your name and talent into the field. Seek out summer and extracurricular acting or production gigs to gain a wider variety of directing, managing, and production experience.
Not all directors or theater managers can make a living for themselves only from the theater. You may consider interning in stagecraft or theater administration to widen your skills base.