There are several places you can find free music to use on your blogs, websites, videos, and for sharing with your family and friends.
You can find a lot of great music at http://lds.org/churchmusic, including hymns, children’s music, choir, women, men, instrumental, and youth. Most of the music is available as MP3 and sheet music is available in PDF format. The rights and usage for the music is on the site. Basically you need to make sure you are not using the music for any commercial gain.
MormonMusic.org is an interactive site of Mormon artists, and also includes several songs for download. The album section allows you to browse by album and then download the songs from that album on the next page.
LDSMusicWorld.com is a completely free site for musicians who submit music, and for listeners who download the music. LDS artists on this site have chosen to make some selections available for free download. Listeners are encouraged to purchase music from the artists they like. Links to the musicians’ web pages have been clearly indicated to promote the purchase of their music.
FreePlayMusic.com offers free instrumental music for personal use. You can use this music to listen to and also on personal, non-commercial family videos and slideshows. You can’t however post this music online.