Definitely take it in to a shop, have it aligned, and have them look it over so you know your work is correct.
Me and one other person installed ZL1 springs on my car in 3 - 4 hours (maybe less??..can't remember) and I had zero issues after install. Got it aligned a short time later.
Praise the Lowered!!
5th gen IS SOLD! 6th gen built 10/14!!! Can't wait!!