Don't think this is really for AIBU but I wouldn't buy any of these.
The woolly ones are like slippers and will fall apart, the kickers aren't really boots and are v expensive and the other ones are waterproof like wellies.
I bought clarks blacks ones last winter, something like this, she could wear for school and at weekends.
clarks
But my DD has wide feet hence need to do clarks, might be able to get cheaper elsewhere, eg
lM&S