You are getting used to nitpicking ! You are making a habit of nitpicking ! Your way is the correct (idiomatic) way to express what he probably means, but his way is not incorrect.
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nathan mckaneI think when sb says ''I'm getting used to nitpicking'' he or she means that others are nitpicking and he or she is getting used to their behaviour .IMHO, to convey this meaning, a native speaker would specify, I'm getting used to your nitpicking.
Avangi(I've already conceded that this is not the most common BLOCKED EXPRESSIONI wish I could remember what I wrote. I'm sure it wasn't bad.