J.,
I subscribe to the philosophy that your kids should eat what you eat as early as possible. If they're picky you offer a little and have them taste it. If, like your daughter, they have a hard time chewing, cut it super tiny so there's no possibility of choking, and then let them see what they can do. If they learn to eat your food earlier you have fewer problems with picky eaters later. They're used to what you make already.
At least that's the theory, my daughter is a bit picky but growing out of it at 10, and my oldest will eat nearly everything because he was given whatever we all ate (including calamari & other odd stuff!).
My guy is 19 mos and has eaten our food since he grew out of mushy stuff - he LOVES avocado, tomatoes, rice, pasta, diced up pizza (so cute when he says the word!), berries, Trader Joes fruit bars (particularly the fig ones!) you get the idea. Start offering her what you're eating and go from there. She'll figure out the chewing part soon, I'd not sweat it, and if your instinct tells you something is up, ask your doc.
If you're worried she's not getting enough to eat (you mentioned cherios), you can give her some yogurt and a some milk after she's eaten some, to wash it all down and fill her up more.
Good luck!
D.