Jigjag/EPICURE
The Everton Library sounds lovely...but it's unlikely that I'll ever see it. I've never been to Liverpool - I have nothing against the city, I've just never had a reason to go there.
I would ban refrigerated eggs, the subject of many arguments with friends, my mother, my sister, my daughter … over the years.
I really hope the market cafe does have a fridge, I wouldn't fancy warm milk or butter that hasn't been refrigerated overnight.
Grunger
You've chosen the one day I haven't done the Times puzzle to discuss a clue. I think your version of that clue sounds fine, but I have to say that split infinitives don't bother me unduly. (In some areas, I've mellowed over the years.)