You need to figure out what kind of electricity you want/need. And how much torque you turbine can make with the common wind speeds in your location, there used to be websites that had that kind of data, don't know if there still is.I am also aware that there is a formula that will give me the amounts of what material I would need to turn in said magnetic field to generate a specific amount of energy.
A small wind turbine could/should be able the turn a stepper motor. That will give you AC but not at the level of frequency or voltage of mains will. Steppers work because they in their real world place are slow moving motors. A battery powered DC motor will only putout it's rated voltage and current at or near it's normal RPM, that it is made to run at. Too slow and you get next to nothing.
Looks like, from a quick search there aren't any DIY wind power forums anymore. There used to be, looks like most have turned into solar forums. That's sad, but solar is easier I guess.