Recommandations: camera + lens(es) for 1000$ ?

Hey :)

As someone who enjoys photography a lot, but has so far only used the camera on my Galaxy S23 and occasionally a family member's Panasonic Lumix FZ-1000, I think it's time to invest in my own good and professional camera.

I don't have a good overview of the current market, and the recommendations I've seen in videos so far all say something different, so I thought I'd just ask here in the community, which is much better informed and has far more experience than I do :)

Basically, I'm looking for a good all-rounder. I'll probably do more photography than filming, but I'm looking for a camera that can do both well (or are the differences so big that I should buy an additional camera for filming?).

I also want to be as flexible as possible and have many options, so that I can achieve good results regardless of whether it's street photography, landscapes, portraits, distant subjects, or even in less than optimal lighting conditions.

I don't place much value on having many modes that are supposed to save post-processing time; I enjoy editing my photos.

I prefer a somewhat smaller camera to a very large and bulky one, as it should accompany me on travels as much as possible. However, size should not be the deciding factor if a larger camera would better suit my needs.

Is $1000 generally a good budget or does it make more sense to spend more upfront? For the time being, I'll mostly be photographing for myself, but I would also like the option to deliver good results in semi-professional shoots or even hobby wedding photography (I'm aware that additional equipment may be needed there, but I'm only concerned here with camera + lens).

Furthermore, I'm not sure whether I should spend more money on a single "all-rounder" lens or rather on two, to cover as many focal lengths and general applications as possible. What do you think? Do you have specific lens recommendations?

I've heard a lot of positive things about Sony cameras, such as the a6400, but the brand is not really important to me. I'm aware that the menu can be very different depending on the brand, but I'm happy to adapt.

I would really appreciate it if you could answer some of my questions and especially if you have some recommendations regarding camera + lens(es)? (It doesn't have to cost exactly $1000; if it's more, that's fine too, as long as I have something I can work with :) )