I would keep doing what you're doing and pick your 3 best sounding songs and start with an open mic. You can even start with just 1 song, some open mics are like that too. You'll really learn alot by performing, it's a whole new trip! Singing (to me) is the hardest part, you should devote daily time to improvement. I sing along to an instructional course on my iPod on the way to work, going over scales and breathing excercises, it really helps!
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