You can't love the psalms and not want to sing them. After all, the psalms were meant to be sung.
Since we're working through the book of Psalms in our current sermon series, I thought you'd be interested in an album I've listened to nearly non-stop for the past few weeks. It's from a group called The Corner Room. Some of the genius of their album is not just the great tunes but that they set their psalms to the actual ESV text of the Bible. That means you can sing along straight from your Bible.