Hip dysplasia is an abnormality of the hip joint where the socket portion does not fully cover the ball portion, resulting in an increased risk for joint dislocation. This can occur as a infant, child, or adult.
The first thing to do is to get guidelines and recommendations from the doctor who diagnosed you. They will have the best idea of how severe it is and what you are able to to.
After this I would focus on minimizing pain. Avoid positions and activities that lead to pain. Pain will inhibit the recovery process.
When it comes to exercise, be cautious of single leg exercises, single leg jumping, and running. These activities put a lot of stress on the hip joint. In time you can build up to them but monitor how your hip feels.
Here is a great resouce