2000kWh is more than my family of 4 (and my home office) uses all year.
Even if we threw in all our heating as (horribly wasteful) electrical resistance heating (we use gas) then we'd still only be at a total of about 8000kWh/year, but if we used that electricity for heating sensibly with heat pumps the total for us for a year would be more like 4000kWh per year.
Before we started conservation our total raw energy consumption was a little closer to yours (10000kWh electricity plus 9000kWh gas), but we've managed to chop electricity use by 5x and gas by a less-spectacular 30% in the face of the most severe local winter for 30 years so it can be done.
http://www.earth.org.uk/saving-electricity.html
Switching to heat pumps should cut that element of your consumption by at least a factor or 2 or 3, should be much much cheaper than attempting to generate it, and even counts as a 'renewable' these days.
(By the end of this year I expect to be generating enough excess from our solar PV that if we switched from gas to electric heat-pump we'd still being net neutral on consumption and carbon emissions. Currently stalled waiting for £800-worth of inverter!)
Rgds
Damon