By environmental variables I am mostly talking about weather, is it sunny or cloudy? Windy or calm? Clear water or dirty? Lots of open water or lots of grass? Rocky/hard bottom or muddy/soft one? Water temperature? Current? Options for cover like docks or grass mats or Lilly pads? All of this and the presence of food should give you a reasonable chance of locating feeding fish, that's the hard part, once you find them, it has been my experience that there are usually lots of "right" lures, for kids, I'd say about a 1/4 or 5/16 weighted Texas rigged senko/stick bait of your choice will probably be a fantastic choice, not really a wrong way to fish it, if you want to be safe, bring a couple bags in a green pumpkin based color, and a couple bags in a black and (insert color here) flake, there should be hundreds, maybe thousands of posts here about locating bass in various times of the year in various conditions, probably more than a few articles too. If none of that helps you feel confident in being able to put the kids on fish, find a local sporting goods store or bait shop and ask some folks there, if they comment that xyz product can't sit for long, there's a good chance it's because it's working and guys are stocking up, many of them also have a board showing fishing reports on local bodies of water, they can be plenty specific "Shad colored squarebill fished quickly in rip rap is catching numbers and size this week on Lake A."
In the end, my best advice is to try to make the entire experience a positive one for the kids, getting skunked is always a possibility, even the pro's turn in 0 fish days, but if you make the entire trip fun with or without fish, it will probably inspire them to want to go again.