While solar arrays and wind turbines often co-exist, particularly in large installations, you need to understand some basics.
In the case of wind power, you will need to refer to a wind map (like a topographical map but for steady wind) to determine if there is enough wind and at a usable speed. Furthermore, since wind does not blow constantly, the conventional wisdom is that wind generation needs to be overbuilt by a factor of three to one. This means that if you want, say, 1 KW of power, you need to build 3 KW worth AND they need to be located in different places (would do no good to have 3 similarly located turbines all becalmed at the same time).
Solar phohtovoltaics, the most common for residential applications now, can be sized to accomodate most houses (build to about 80% of the annual need - not 100% or more), if there is sufficient south facing unshaded roof.
In both cases you remain connected to the native utility grid to provide power when your generation is not matching your needs (think, calm night). Also this permits the resale back to the utility when you have overgeneration.
There are currently several rebates, refunds, investment tax credits, renewable energy credits, and depreciation that helps offset the cost of these technologies.
Every person has their own tax circumstances (tax appetite is critical to be able to use credits) and their own environmental goals.
No one answer fits all.