One of the first finger picking songs that I teach all my students is a song by Opeth called Benighted. Everybody loves it and it's easy to play. Give it a try. Make sure you use the correct picking fingers. They are notated below the staff.
Note: The chord played at :20 on the video is wrong. Make sure to play B7 like the tab shows. I will be redoing the video soon. Thanks!
Learning Blackbird is going to take some hours, but that's how you get good, right?!