We have one bird, a 22-year old Double Yellowhead Amazon. We take the bird on three- to four-week trips and on the nine-week trip to Alaska this past summer. We are in a fifth-wheel, so the cage has to be small enough to be put into the rear seat of the pickup. It's a wire cage about the same size as yours.
We let Poco out of his cage as much as possible. He sits on my knee while I'm reading, and we let him play with plastic bottles on the floor or on the kitchen counter. When we are busy, he sits on top of his cage for long periods. He seems OK with the arrangement. I prefer to relax on one of the recliners, but my wife likes to stretch out on the sofa. If not for that, I would take out the sofa and install a large bird cage.