Robotic mowers work best on flat to gently sloped yards under maybe a quarter acre, so your half-acre with slopes is pushing the limits of what they're designed for. I've seen folks with similar setups use them successfully, but they end up babysitting the thing more than they'd like - repositioning it when it gets stuck on slopes, clearing debris before each run, and doing occasional touch-ups around edges. They're genuinely useful if you have a small, mostly flat lawn and don't mind the weekly maintenance routine, but if you've got thick overgrown grass or significant grade changes, you might find yourself mowing manually half the time anyway. The real question is whether the convenience of set-it-and-forget-it (which honestly isn't that forgetful) beats the upfront cost for your specific yard.