You could do that with a decent phone. I would say iPhone 17 but that's £799. Why do you want the camera and which aspects are most important to you?
Second hand would be okay. Mainly landscapes and wildlife.Do you want to buy new or secondhand?
What photography subjects will be most important to you, e.g. wildlife, landscapes, architecture etc.

Hiking...so small, vlogging means flip out screen and perhaps IBIS.
Go used, perhaps of the Sony A6xxx series would fit your needs. Fuji line wise, the one I am thinking of would be XT4, X-S10. Both are slightly over your budget.
An A7 iii is probably out of budget with a Lens included. They typically go for about 600 with body only.
That bundle you linked seems like a decent and comprehensive starter kit. Enough to get a good photo, but plenty of room for improvement. Could be worth a shot to try your hand first before spending more? Not sure how experienced you are with cameras!![]()
If you are serious about vlogging then you need a flip out screen because you need to be able to see yourself. Your criteria is basically like everything all at once. Photo, video, vlogging.....it's essentially jack of all trades, master of none.
The Sony A7S series is the master of video, it isn't really that great for photos, I think off my head it is like a 12mp sensor? While it is fine, I mean you can print A4 with that but personally I want at least 24mp.
The A73 is the perfect Master of all trades camera, the 1st IMO from Sony, A74 would be even more ideal with its flip out screen. On the Fuji side it's probably the XT4 (when they added in IBIS). The XM5 is worth considering but it's a bit too expensive. Both have flip out screen.
I see what you mean. Okay then what if I upped the budget to say £1000. But bought a camera for photography and then something like Dji Osmo? Maybe that would be better. Rather than as you say expecting one item to do everything.
If you are serious about vlogging then you need a flip out screen because you need to be able to see yourself. Your criteria is basically like everything all at once. Photo, video, vlogging.....it's essentially jack of all trades, master of none.
The Sony A7S series is the master of video, it isn't really that great for photos, I think off my head it is like a 12mp sensor? While it is fine, I mean you can print A4 with that but personally I want at least 24mp.
The A73 is the perfect Master of all trades camera, the 1st IMO from Sony, A74 would be even more ideal with its flip out screen. On the Fuji side it's probably the XT4 (when they added in IBIS). The XM5 is worth considering but it's a bit too expensive. Both have flip out screen.
The Osmo is amazing for vlogging, photo wise it is okay, because it is a FIXED focal length. It's fine but I wouldn't think it is that much better than some of the flagship phones (depending on how much AI they baked their photos in).
Not the R2. It's a VERY landscape focus, Photo focus camera.
The Auto focus is not as good as the A73.
The A7R3 is better.
That maybe out of budget. As the Osmo is around £500.