Mine jump up in the air to pick berries, too. They're so cute when they do that. I have gardens just for me, just for the chickens and some areas that we share. We have a lot of space. They're always so happy when they're busy foraging, so I like to have "pick your own" areas. Some things...
I plant Swiss chard early in the season, as it takes cool weather so well. It grows through the hot humid summers and into the early winter here. Instead of planting and harvesting multiple crops, I only plant it once. I harvest only the larger outside leaves and let the center leaves...
It's hard to beat tomatoes. I plant cherry tomatoes for them, too. Not that they don't love the big ones!
I'd definitely plant a selection of greens, too. Kale, collards, spinach, chard and leaf lettuce are all good. You can get the chard in different colors, including a rainbow assortment...