It all depends on how many syllables are in your LN. I'm not a fan of 2-2-2, especially when the first and middle names are so vanilla. (FWIW, I like Michael and David... they're just a little plain together).
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Re: Does this flow?
I think it flows fine.
Other suggestions:
Michael Joseph
Michael James
Michael Patrick
Michael Jacob
Michael David sounds good to me!
I think a lot of names flow with Michael, and since it's such a classic name, I'd do something less popular or trendy.
Michael Wallace
Michael Frederick
Michael Greyson
Michael Wyatt
Michael Grant
Michael Sutton
Love Michael Anthony.
BFP 1- EDD 2/09/11 Missed MC DX @11 weeks D&C- 7/25/10 BFP 2- EDD 12/22/11 Natural MC @ 5w 2d BFP 3- EDD 1/25/12 DD Josephine born 1/16/12