My PT wanted me on a walker the first month (and I was getting around well with just a cane), and then on a cane for another month. They said they wanted to give the bone time to heal. Once I realized that I had a tendency to pivot on the ball of my foot (and put stress on the knee) when turning a corner, then the walker and cane seemed like a good idea. So don't rush getting off of a cane. It is there to slow you down while you heal. (This is coming from someone who is very impatient about getting healed and up and going. With my 1st knee replacement, I had a vacation planned 2 weeks after surgery, as the hospital nursing staff said it was probably do-able...including bike rides around an island. My PT convinced me that it wasn't the best idea, even if I could physically do it.) But it sounds like you are making great progress. 
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. When I was at your stage I was still happy if the poop fairy visited and I could get in a short walk followed by a long nap!