Drive up the A41 from whitchurch, park up in Birkenhead,(conway park)(cheaper parking and no tunnel fees) catch ferry over to the pool, walk down to Albert dock ,tate etc, then through Liverpool one large shopping centre, up to St georges hall,lime st, stopping off at cavern walks home of the Beatles, then catch train back from Liverpool from any city station, and get off at birkenhead hamilton square, large classical square,just up from the ferry, and return home.
Railway station and car park at Conway park, about 10 mins walk to the ferry,and just down the hill from Hamilton Square.
Also Shrewsbury is quite nice, just up from Whitchurch.
Are you staying at the camp site just outside whatchurch near the cannal, highly recomended by a neighbour.