I have made a chutney with tomatoes and courgettes but not broccoli or cauliflower. The recipe I used which worked quite well was Glutney by River Cottage and has the advantage that it gives a range of ingredients you can use and as the name suggests how to use up the gluts in the garden. The link is here. Fiona has made quite a few chutneys too but not sure they have the same ingredients you mention but if you use the search you can look them up.

Chutneys are certainly an excellent way of using up gluts. I have used them to use up green tomatoes after I had to pull them all due to blight.