Just typed out this whole thing and lost it... ok starting again

I'd like your advice on buying some shorts for the very hot days of our Australian summer. I felt last summer that shorts were a wardrove hole. For "pleasant summer" I had clams and long shorts. but they don't cut it for me once it get above about 32.
I purged 2 old pairs of shorter shorts because they looked so unflattering - would always wrinkle around the leg crease.

For those who don't know what I look like, I have a pearish bottom half with short legs, chunky thighs and the widest point ( from the front) of my hips is actually a few inches down my leg

I had wondered about getting shorts in a flowy fabric but I don't really know what would be best and would love to hear your thoughts

Thanks in advance