Eufy Clean RoboVac G40 Hybrid+

I have an older Eufy G40 that I'm very happy with, so I'd start with the Eufy range if I was looking for another. Looks like the G50 is £129 on Amazon, and I'd guess that's the newer version. My G40 does well on carpet tackling the cat hair, and the app is fine. It's great for thoroughly getting under the furniture.

We have a self emptying Eufy on each floor with 2 cats and a golden mix. It’s keeping the tumble furs to a level that feels almost civilized. 

Save your sanity and get a self-emptying robot vac. I got a Eufy brand one that even cuts long hair off the brush roller and LOVE it. Wish they'd made these things years earlier so I'd have had it for more than a year or so with my husky mix. Now it's just keeping up with the hair from 3 cats and a pit mix. There's minimal maintenance/upkeep and you don't have to replace the brush roller or other accessories much at all. The instructions will tell you to do so at a ridiculous frequency to keep you spending money, but just do a thorough cleaning now and then and they're good as new. Even the filters can be cleaned out with a small hand vac and reused a few times longer than they say. The only trick is to test and figure out the right self-emptying frequency so the bin in the vac doesn't get wedged too full of hair to be sucked into the bag in the base.

Eufy makes a good self emptying vacuum with a built in automatic cutter for hair caught in the rolling brush. It dies a decent job of keeping up with my double coated dog who likes to shed. Bonus is once it's set up you can disconnect it from wifi and it still works. I would never get a roomba for privacy reasons.

Yes. 100%. I have one on each floor and a eufy robo-vacuum that is on a timer.