Most roads don't need planning permission for dropped kerbs, generally only classified or principal roads do.
It is usually cheaper to get an approved contractor to do the work than the council, you need to find a NRSWA accredited contractor, you may find this link of use https://www.whatdotheyknow.com/request/approved_contractors_wirral
Most council's provide a list of approved contractors, Wirral doesn't seem to.
In a time of universal deceit - telling the truth is a revolutionary act. George Orwell
When the debate is lost, slander becomes the tool of the loser. Socrates