Push drill is good for some holes but nothing below 3/32” or so for me because I tend to snap them.

I have MF #2 and #5.  The #5 is a much better size for smaller drills.  The #2 is a little too large IMO.  A #4 would probably be the best for really detailed work but they are harder to find and the price tag usually matches.

The Buck Rogers drills, 104 and 308, are a good option too.  They are more compact so you can get good control with more capacity.  I don’t recall what the low end of the chuck is, it might go to zero on the 104 which has a 1/4” max capacity.

I can get some pics and better measurements when I get back home this weekend.  Unsurprisingly though, I’m firmly in the Millers Falls camp 😉  I have to admit though, I don’t use eggbeaters a lot.  A cordless drill is my preference and when I drill small pilot holes for small screws, I tend to use a push drill.  Like I said, under 3/32 or so is about the only time I use any of my half dozen eggbeaters.