I've been walking a lot at our hilly regional Park Helen Putnam, mostly without my cane. It feels really great on my hip, it gets a little "itchy" indicative of blood flow into the surgical site replenishing the tissue and healing. I try to keep in mind, to walk with an even stride of my gait.
I've also been doing Side Leg lifts from my Pilates Mat work. This strengths the Glute Medius and Minimus...all the side hip muscles, which stabilizes the hip and helps with balance and gait.