Beginners ignorance-Which Rose and when to prune?

Hi everyone,

I'm new to the forums, and to gardening. We have just renovated the inside of our house, and have now started on the garden (which is proving a lot more fun and interesting than the inside was).
The front garden is more or less done, and because that is being/will be planted from scratch I know exactly what is going in there. The back garden however is a different story, it is a stip of long, narrow, poor condition grass with a couple of shrubs, a lovely greengage tree and a rose. Although we are planning on changing the garden significantly (digging up and moving/replacing the path, creating beds, a veg patch etc, one thing we do want to try and keep is the rose (and the tree).

However, I know next to nothing about plants, and that includes roses. I don't know what the rose(s) are, nor when to prune them. I was hoping that someone on here could enlighten me. We don't want to do much to them, but just neaten them up really. I have attached some pictures of them from last summer.

 

I don't know if those images worked (my computer doesn't always display them, even when other people can see them). If not, here is the link http://www.flickr.com/photos/24681026@N02/

 

http://farm4.static.flickr.com/3130/2334873424_38eaed2165.jpg?v=0

and

http://farm3.static.flickr.com/2196/2334873416_3c9ddff124.jpg?v=0