Streaming Setup

Hello together

As a new member I hope that my question is not a total fail and the topic fits the forum overall.

I have zero knowledge when it comes down to production, video or anything related to the topic blackmagic has products yet.

I plan to build up a professional streaming setup for a gaming stream with multiple cameras distributed in my appartment. Main focus areas will be the gaming room including me while streaming, the other main area is my kitchen - one floor above the gaming room, where I want to stream fitness cooking sessions.
Let it be defined by a project like "big brother" - cameras all over.

The content is getting delivered by streamlab obs software.

Now my question is, even after a bit of research, does blackmagic have products to support my idea?
From my perspective I need a wireless and non-wireless camera setup which I can connect to a "video switcher" where I can select the cameras I want to have as an input. I am not able to connect all cameras via cable and I prefer a 4k resolution setup - I am pretty sure the future even in gaming streaming via twitch.tv is 4k only.

Can someone help me a bit in this questions?
Budget should not be a problem - I saw the price of the products.

BMD have switchers and wired cameras for U .. No wireless cameras ..

I think the best way to deal with a project like you describe it, is to find a BMD dealer near you and put your plans on paper, And let the dealer help integrate this, Because there is a lot of knowlage behind it needed to pull off a project like this.