I'm not sure that there are any places that you could actually learn to lipread, per se. The way I did it was to work in an excessively loud all-night techno/drum'n'bass nightclub. Not great for your ears, but, My God, you learn how to lipread quickly :)
Click http://www.royaldeaf.org.uk/lip1.htm
and a link will take you to an official web-page which lists where classes are to be found, Once there, just click on your local area/town for the necessary information.
I know eactly what you mean shybear,as I worked in a bar but you tend to learn phrases such as 'where are the loo's?' '4 triple vodkas' and smarmy chat up lines :-) whereas I wanted to learn it as I'm joining the police. Thanks QM, the link is great - although unfortunately there aren't any close to me, so it looks like I'll be travelling! Cheers!