I keep using the same bottle until it's gone, which usually takes me about two and a half months. I wouldn't personally push it past three months after opening, though everyone has their own comfort level with the risk.
I've kept the same bottle for roughly two months and used it to reconstitute three vials so far. I'm wondering how long the water remains okay once I've started drawing from it with a syringe. It's sitting in the fridge right now. The question came up because I noticed redness around an injection site for the first time.