A cheap, old (90s) MTB. Some winter tyres on it - under 100 euros per pair. And you're good to go. When snow - use the snow bicycle.
Cheaper alternative would be to put some mud - off road tyres on the old MTB, but that won't do for ice, just for snow.
If you have no room for another bike, get some Schwalbe Marathon Winter tyres, they come in 35 width, which should fit Lola with fenders - do check for room. Or Nokian Hakapelita. They come narrow and nice for treking bicycles.
Rear tyre keeps you moving, while the front one keeps you upright.
Last edited by Bike Gremlin; 10-01-13 at 05:53 AM.