To manage is to skillfully handle something. If you can barely manage to keep your goldfish alive, you should probably think twice about adopting those Golden Retriever puppies.
The verb manage also means to supervise or oversee either things or people at work. You might manage six people at the donut shop, even though you've only worked there for four months. If you carefully manage your donut shop earnings, you should be able to buy that new car next year. Manage also means to cope with or come to terms with. It might seem scary to go to college in another state, but I know you'll manage.