Winter in Corfu runs from the end of October until the begining of May (i.e. the closed season).
Having said that. many locals regards October as being winter, which is reflected in what goods and services are available.
You pays your money an takes your choice. You will always be able to find somewhere to eat and drink, but out of season, the choice is limited.
Where do you think yo might be going - let us know and we can point you in the right direction.