Shorts for larger hips?

Hey everyone! So, after seeing myself in my video camera, and taking careful stock of my pole shorts, I have found that my shorts are quite inadequate. I require new ones. However, I have large hips! They're 40 inches at last measure. I'm very "hourglass shaped" and it's caused issues for me in the past... Do you have any recommendations? I don't need them to be high-waisted (though I don't want them to be almost-not-there either!), but I would like them to cover more than half of my rear, and provide some coverage between my legs, so I'm not giving everyone a good look of which panties I'm wearing that day! I have found a couple of possibles, but I would love to hear about your recommendations and reviews!