how is does read discworld

I have just finished Mort by Terry Pratchett. Enjoyed it immensely (I did not tear through previous Discworld books in two and a half days). Am dismayed however to find out that all the other "Death" books are connected to other Discworld sub-series and now I'm like do I have to start all the way at the beginning and read about the wizards for forever before I can get back to Death having a midlife crisis? Cause like, I could do that, I could also skip to the next Death book and get confused by about half of it. I don't really know what the etiquette is. 

Thank god I found time to finish the book and also post with time to spare before I leave my house for eight and a half days. I can even stop at the library to return the thing.