Eiger in Winter. Any information greatly appreciated

I may have a chance to stay in the Eiger region this winter and wish to start exploring the mountain. I have some Scottish winter experience (Cairngorms, North Face of Ben Nevis, Cullin etc) but little alpine experience, save some comparable ‹ hills › in the Graubunden region where I currently live. Best routes to consider? (conditions, safety and technical difficulty). Avalanche hazards? I cannot afford and do not wish to use guides when I climb.