Many thanks to all of you who responded to my request for advice. I clearly should have given a bit more info about my project. First, it is not intended to be a masterpiece but a serviceable and useful piece of bedroom furniture that will look decent, and also will match a built-in chest of drawers that I made some years ago, a run of built-in wardrobes and a bedside cabinet, not to mention a bedstead that was actually bought from a shop. That means American White Oak. And the piece should not cost an arm and a leg, or be too tricky to make. ( I am a very slow worker.) The top and sides will be AWO veneered MDF.
I plan to use metal drawer slides, as I did before. With simple bottom fixing slides the ply drawer bottoms sit on the flange of the slides and the drawer box (front, back and sides) sits on the bottom, pinned and glued. That means that the weight of the contents of the drawer is transmitted through the bottom to the slides and hence to the carcase. There are no runners or kickers and no dust from wood rubbing on wood, hence no need for dust panels. And no need to even think about using slips.
Having said all that, I now question my own assumption that I wanted to use hardwood for the sides. Thanks mr grim for suggesting redwood, I'll think about that, although I don't understand why you hate AWO so much.
The larger width drawers will be 600mm by 500 deep: I don't think that I will need muntins with 6mm birch ply.
Thanks to markymark for the warning about resawing. Losing well over half the timber in the planer does make me wince, though, but not so much as throwing out two warped pieces. Perhaps that issue wouldn't apply so much to redwood.
As regards the thickness of the drawer sides, 10mm looks about right to me, and is the same as has been used in the older pieces of furniture in our house. With the way I will be using bottom fixed slides, there is no serious loading on the sides, unless someone sees how many sweaters can be stuffed into one drawer.
Thanks to waterhead37 for the reference to the NK design. After googling NK and reading lots of stuff I think I get the idea. I might make use of it, adapted to metal slides.
Thanks again, your contributions much appreciated, Forbes