I was curious about heating your own house with solar power. A solar panel yields approximately 10 watts/sq. foot. Space heaters should be sized with wattage 10x that of sq ft. of the room. So you need to have approximately 10x for immediate heating and probably 25x with an energy storage system.
We have gone big in wind here in Iowa. One of the leaders of the effort from Iowa State discussed how the big problem is that the available future wind resources are not where the people are located, and current methods of transmitting the energy hurts the efficiency.
For the problem you've posed the most important part of the solution is insulation.
http://www.zerohomes.org.php53-27.dfw1-2.websitetestlink.com/zero-energy-home-design/
From the site:
http://www.zerohomes.org
So the first thing you'd want to do is substantially upgrade the energy efficiency of your home. A ground or air source heat pump with a high efficiency heat exchanger in the fresh air circulation system would ideally be one of the core parts of this upgrade.
As for wind, the "big problem" is that we need to erect more wind turbines. There is wind everywhere and we will be exploiting it everywhere. Some places have
better resources than other places, but that's a matter of what resource is most economic to develop first. Transmission does incur losses, but those losses aren't crippling. If you are in an area with a high proportion of wind on the grid, it might make sense to put in a heating/cooling system designed around thermal energy storage. That allows the system to "charge up" in a way that helps balance electricity demand with supply - most utilities already have programs using hot water heaters to do the same thing. These types of systems are expected to emerge as renewable penetration rises.
Those are only a few points. Our entire approach to energy requires a systemic change and if you don't look at total package, the individual pieces might seem like they don't make sense.