Wirral
Avoid:
Birkenhead/tranmere/Rock ferry/new ferry/seacombe/woodchurch/beechwood estate/noctorum/leasowe
Ok if right street/parts of: Wallasey, Moreton, Upton, prenton, oxton (village only)
Mostly very Nice: Heswall, hoylake, west kirby, meols, Greasby, Pensby, higher Bebington, Eastham
Extremely posh: caldy, lower Heswall, Gayton
Obviously house prices in these areas reflect this.
Prenton is officially the CH43 postcode which is vast and includes many areas that aren't actually prenton, some nice some not. Right move will record anywhere ch43 as Prenton regardless.
It's extremely easy to commute to Liverpool by train bus ferry, tunnel and motorway to Chester.