You could take a ferry across the Mersey (as in the famous song by Jerry Marsden) or stay on dry land and visit Liverpool's two cathedrals. The Anglican cathedral, at the end of Rodney Street (can be seen from anywhere in the city), is constructed entirely of red desert sandstone, and was only completed in the 1980s. The red colour of the stone comes from the heamatite staining that occurred when this area of Britain was desert, long ago. The cathedral is the fifth largest in the world and has some beautiful architecture and surrounding gardens. Entry is free, but to reach the top of the central tower, the cost is £2 or £3 (students should enquire about possible discounts). From the top of the tower, over 100 meters high, the view is fantastic. The whole city can be seen from here, as can the mountains of Wales to the west. The Victorian layout of the city becomes evident from the top of the tower. There is no charge to visit the cathedral, although donations are welcomed to aid maintenance and heating of this beautiful building.
There is also the Roman Catholic cathedral, less beautiful than the Anglican cathedral, with its modern style architecture.
The radio city tower can also be visited. This is as high as the Anglican cathedral and used to house a rotating restaurant at the top.
If you can manage to arrange for tickets, why not try to see a football match involving either Liverpool FC or Everton FC? Tickets are available in advance at each of the grounds, and are in high demand. Beware, though: the language can be, well, colorful let's say, so it may not be an ideal family venture. further information regarding tickets and matches is available on the club websites: www.evertonfc.com or www.liverpoolfc.tv
Still, there's always the shopping in the city center. A wide variety of stores cater for all tastes and styles.
The surrounding area can be easily reached by public transport services. Bus timetables, prices and destinations can be found at information centres at either the Paradise Street or Queens Square stations.