Though psalm singing has played a central role in the life and worship of God's people (both old and new covenant believers), that tradition has sadly been neglected by many churches today. Thankfully, there are people who are calling the Church to return to this great practice.
Here is one such example. Ray Van Neste discusses James Grant's recent address at Union University on "How I Introduced Psalm Singing to My Church...Without Getting Fired!" He also includes a link to the audio of Grant's address.