kitsune,
For brocoli, I cooked both the florets and the stem. But I cut them up into small small ones before cooking. The japanese baby food book I have only uses the florets, which I think is wasting the poor stems. So I still use the stems.
Yes, when I use my braun handheld blender, some of the brocoli will get stuck and will not get blended properly. So I will use a plastic spoon, scrap those into the blade area and blend again. So it's blend, scrap, blend and scrap.. until all get blended up nicely.
My son still ok with brocoli. But I mixed it into the porridge for him. I read in a baby food book that u can mix brocoli with other more tasty/ sweet veg (like carrot?) to disgust its taste. Perhaps u want to give it a try?
My son is quite greedy. Anything also eats. =P