Here are some links which you may find helpiful.
The Institute of Conservation
Icon is the professional body for conservators, its website is full of useful information about training and careers in conservation.
Cardiff University - archaeology
Centre for Textile Conservation and Technical Art History - textiles. The Centre's blog also gives more information about the course and students' projects.
City and Guilds - conservation studies
The Courtauld Institute of Art - easel paintings; wall paintings
Durham University - archaeology
Hamilton Kerr Institute - easel paintings
Institute of Archaeology - conservation principles; archaeology
University of the Arts - Camberwell College - conservation; books and paper
University of Lincoln - conservation
University of Northumbria - fine art; preventive conservation
University of York - stained glass