Boys names: something traditional from the family which isn’t hard to spell or remember. I’d name a son Grant, after my grandfather. (It’s sort of a family name.) Maybe Brent, after my uncle. Nobody’s getting named after my father — long story.
No funky spellings. No gender-ambiguous names. No flavor-of-the-month names. If I were to overhear someone else’s new and unique baby name, I wouldn’t use it. Biblical names would be looked at with a wary eye; I want traditional but I don’t want entrenched.
Girls names: no funky spellings. No diacritical marks or apostrophes or hyphens. No conjoined names like Emmasue or Angelinamay — makes it look like the parents couldn’t agree. “Elizabeth” and “Marie” as middle names would be right out.
I rather like the names Danae, Phoebe, and Renee. (Note: no funny marks.) Also Natasha, but only if she has dark hair.