Second the recommend for Tanya Huff's Blood Books, which are very good and very entertaining, and add one for Barbara Hambly's Asher & Ysidro series, which originally began as the standalone
Those Who Hunt the Night, which was a Locus Best Horror Novel in 1989 or so and won a Lord Ruthven award. It's a truly excellent gaslight murder mystery with some very unrepentant classic vampires.
In a spoofier vein, Terry Pratchett's
Carpe Jugulum, in the Discworld series, manages to satirize a lot of traditional and media-inspired beliefs about "vampyres" while also telling a fairly good story at the same time. If you like his take on things, prominent vampire supporting characters later show up in
The Truth and
Thud! further down the line.
Some of Chelsea Quinn Yarbro's Saint-Germain (and related spinoff) books are
available via Fictionwise in MultiFormat, which makes them DRM-free and compatible with just about any reader. This also happens to make them discountable to a very cheap price when Fictionwise has its 40%+ weekend discount coupons which pop up in the Deals forum right here on MR.
The titles available via FW also have the advantage of being some of the very earliest out-of-print ones in the series, so you can try the start of the books at a fairly low cost. Although the Saint-Germain books are written all over the time line, chronologically, so there's not really a formal order and they're basically mostly standalone "episodes" in his life.