I wasn't at all familiar with the Devil May Cry series, but it's quite easy to get into. Fundamentally, it's a beautiful button bashing fest, with a slightly confusing layout and gameplay. You play Nero, investigating the assassination of the chief of the church. First and foremost, there are a lot of video sequences in the game - at the start, you'll almost have more video than gameplay, which can be annoying.
Nero and Dante are both cool, and the moves are slick. That said, the camera angles can often be really annoying (especially when you're running into the camera) and often you'll enter a room only for the angle to flip 180, and you suddenly find yourself leaving the same room! The saves are also a bit flawed - you can't seem to save mid-level, which isn't too awful, because the 20 levels are relatively short.
The weapons are easy to use - the swords are far more powerful than the guns, and you'll find yourself using them a lot more. The power-up system is welcome, and you perform increasingly-slick moves as the game goes on. The bosses are amazingly impressive, huge and satisfying to take down. They're often very weird - two lesbian nymphs hiding a giant toad. That said, you do have to kill the same bosses up to three times, which feels a bit unoriginal sometimes.
The puzzles and controls can be annoying, and you'll often curse the lack of linearity, wandering around a level for a while until you find the new door which opened. You also have to revisit old locations when you switch over to playing Dante, which is odd. The game can be repetitive, but it's quite satisfying and interesting to watch the story unfold. On the basic difficulty level, it's not that hard - I only died once in the whole game - and if it's on offer, it's worth a look.