Are some birth control methods risky?

Dear Doctor, I would like to get on a family planning method as soon as possible. I had my first baby who is about five months old now. The thing is, every method I have read about has strange side effects to it. Like the contraceptive implant. I’ve read that it can move around and be found in another part of your body. Is this true? What is the safest method? Will it interrupt my menstrual cycle?
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Dr. Rachna Pande