Climbing roses need to have their stems tied in to a framework or support before the autumn gales so that their branches do not get damaged. Any surplus or unwanted branches can be cut off then.
The main pruning is done in spring to remove older stems and damaged stems as they flower on new wood. The trick is to tie the stems as horizontally as possible a sthis helps the sap flow more easily and promotes the growth of flowering stems. There's some advice here - http://apps.rhs.org.uk/advicesearch/Profile.aspx?pid=189
Varieties for shade include Albéric Barbier, Golden Showers, Souvenir du Dr Jamain, Guinée. Try websites from ros egrowers such as David Austin, Peter Beale and Harkness for info on colour, perfume, disease resistance, repeat flowering and more varieties.