The death star does have hyperdrive, it's been a while since I read it but it's in the death star technical manual that was created for the role playing game.

In fact some of the role playing star wars books contain lots more information than some of these so called star wars encyclopedias.

It's also on wookieepedia a great source of star wars info, I've copied some of the text below.

"The battlestation also included two massive sublight engines in the midsection, as well as a formidable hyperdrive system. Driven by 123 individual generators, the Class 3 hyperdrive was fast enough to allow the Death Star to travel thousands of light years from Alderaan to Yavin IV in only a few hours."

Hope this answers your question