Hi, I can recommend a couple of pocketed sports bras as I sell them in my shop and online - Colleen's Post Mastectomy Connection. Anita has a great sports bra, the Vivana Active which offers good support. I've had great feed back from ladies about Amoena's latest power sports bra. I wear an active top which has a built in pocketed bra for the gym but these may not offer you the support you need whilst running, but worth checking them out! Exercise is great and it's so important to wear the right supportive bra!