The puppies are cuter, that's my guess.
That's a little presumptuous- the puppies all look like little balls of fluff anyways.
I was asking because maybe they like shih tzus but don't want the brachycephalic/big eyed qualities that many have. In which case we could suggest similar breeds with a better skull structure such as the bichon frise, havanese, or coton de tulear.
Or maybe they like terriers but realized how intense they were and wanted something a little more family friendly. Maybe a wheaten terrier would be better in that situation?
So I'm just wondering what specific qualities the OP is looking for in a dog and why they think a terrier mix would suit their needs.
Dogs that are good with children typically aren't terriers. Labs, goldens, beagles, spaniels, amstaffs/pits (though again these guys can have that intense terrier temperament), and "gentle giant" dogs like mastiffs, newfies, and st. bernards are known to generally get along with children. Though it depends on the individual dog as well, their experiences with children, and even the most bomb proof dog and gentlest toddler should always be actively supervised together!