Hi,
My progress is quite simular to yours . I had surgery on my right hip ( BHR) June 5th. I can walk but have that wobble you mentioned. It is all down to working on muscles. I didn't do much muscle work in the first month , just walking and light excercises. Now I have started in the pool this week and after two sessions already notice how this is improving my butt muscles and quads. I spend 45 minutes in the pool and plan to do pool excercise every second day. My wife and kids tell me I am walking better already.
I walk up and down the pool for 5 minutes. Stop rest and do stretching excercises moving my leg forward, sideways, backwards and up. I do each excercise 30 times. I then lie on my back and kick my legs in the water slowely. After these take a couple of minutes to recover and start again. You will be amazed how quickly 45 minutes goes.
I wouldn't be to worried about the wobble/limp. Once your muscles strenghten up everything should be OK.
Regards,
John P (41)