I do kind of hope that this show has some slightly elevated comedy over what's come before - not over-the-top stuff that LDS is famous for, but also not titanium-rod-up-the-tight-ass stodgy dourness of Berman-era Trek, either. And I know it's geared predominantly towards kids but, for the Love of All That Does Not Suck, let's please try to keep the idiotic slapstick comedy to the barest minimum.
After re-reading what I just wrote, I suspect this will be a tall order for what's involved.
I don't find Berman Trek lacks humor at all. DS9 had a large number of comedic episodes (In the Cards, Our Man Bashir, Trials and Tribble-ations, The Magnificent Ferengi, etc). TNG and VOY had the occasional funny episode as well, though there were more misses than hits, IMHO. Really Enterprise was the only Berman Trek series which had essentially nothing which was funny.