What to do with a strained hip flexor?

So, my hip flexor hurts. I just recovered from a calf strain, and just started running again when my hip started hurting! I ran a mile my first day back, and the next day my hips were sore. Then I ran another mile two days later and my right hip hurt the next day, but my left is fine. It hurts to move my right hip. I’ve been icing it and trying to keep off of it. Is there anything else I can do to speed recovery? How long should it take to be fully recovered to where I can run again?