In reply to raussmf:
Lots of low-level options. There's a good round you can do going up Catbells, Maidenmoor, High Spy and Castle Crag, then back by the shore of Derwent Water - quite low level, so unlikely to have more than a sprinkling of powder snow, though it's always possible to turn around. It's a ridge line, with good views of snow-covered central and western fells, though it's likely to be blustery (check the wind).
Another walk at a similar altitude would be from Grasmere village up to Helm Crag, then along the ridge to Calf Crag and down Easedale. Again, you can judge the conditions when you're there, but I doubt there'll be significant enough ice to require crampons.
From Patterdale, you could follow the Cumbrian Way along Grisedale to Grasmere - again, it's mostly low-level and should be doable without crampons. Another good low -evel walk from Patterdale is to Pooley Bridge along the eastern shore of Ullswater, which is really surprisingly worthwhile. Add in Place Fell and/or some of those other lower lying hills if you want a summit.
Finally, two other low-level options if the weather is appalling: Coniston Village > Tarn Hows > Tilberthwaite, take in Hodge Close and Cathedral Quarries > Little Langdale > Elterwater. OR walk from Arnside to Silverdale. Both options can be varied and can take in various pubs.
All are possible on public transport and the usual caveats apply, e.g. see what the conditions are like when you arrive and don't forget to factor in the direction and speed of the wind, especially on the ridges.
Post edited at 17:07