I pretty much just ask. Last year they tried raising it $50, and I said, essentially, “Hey, I pay my rent on time every month, I’m quiet and respectful of my neighbors, and I’d like to keep living here. How about $25?”
This year, they tried to raise it $60, I tried for $30, and ended up at $45. I figure the worst they can say is “no”, and it’s worth writing the semi-uncomfortable email to save $180–300 a year!
I’m sure you can find better advice out there — I was told to try for a two-year lease as a bargaining tactic, but they were not interested. My neighborhood has been gentrifying at hyper-speed the past few years, and they know the upward trajectory isn’t likely to slow.