Snow paths in Wengen
They may still be icy in patches and normal walking boots are an excellent choice of footware. You can also buy spikes that fit over a shoe and improve the grip on icy surfaces (not crampons - keep those for ice climbing).
Two walking poles rather than one pole are also very useful
Away from the village the paths and toboggan runs are prepared with a narrow piste machine, so the snow is firm, and walking boots get a good grip - you may need to kick the heels in going down a steeper slope.
These paths are also patrolled by the piste people at the end of the day.
Take a sun hat and sun cream or you will burn!
Take water to drink - the mountain huts are organised for the skiers, and don't always have good access for walkers.
We had six days walking and spent the first and last days exploring from the village. We purchased a walkers pass for the other four days and made excellent use of it.
It is much easier to walk downhill than uphill on snow! Plan to start at the top and walk down.
Some of the higher paths will remain closed until there has been a good snow fall, as the path cannot be prepared until the piste machine can drive over it, but village paths are open all year round.