I like Bright Eyes. There, I said it. That’s no small confession for someone who prides herself on listening to serious music. I’ve evolved from preteen grunge aficionado to high school punk fan to college indie rocker and finally become a somewhat omnivorous 20-something with ears for everything from noise-rock to tropicalia. As a woman who writes about music, I’ve worked extra hard to distance myself from teeny-boppers and groupies and drippy sentimentality. This is all to say that nothing embarrasses me more than my secret love of Bright Eyes, once the drippiest act in all of indiedom. Primarily a vehicle for singer-songwriter Conor Oberst, whose new album, “Conor Oberst,” came out this week, the ever-rotating group of musicians known as Bright Eyes formed when he was only 15. Unlike most celebrities who are supposed to have “grown up in the public eye” — child actors, teenage pop stars, offspring of the rich and famous — Oberst was the rare young artist who wrote his own songs and found a sizable audience while still in …