You've asked a really difficult question Thomas.
Quality always comes at a price in the world of cameras as a general rule.
You make no mention of what sort of camera you want.
My simple advice is only buy a camera that you will be happy carrying around. It's pointless having a tripod and expensive heavy SLR, complete with extra lenses and filters etc etc if you never take it out. A small camera that fits in your pocket and can be carried easily might be the preferred route you take.
You make no mention of what sort of photography interests you so I'm presuming general travel and family - not specialist equipment.
So where does that leave you.
It doesn't matter how much you spend the main issue is you, the photographer. I've no idea what your experience is but, with your shaking hand you do have a problem.
Cameras with inbuilt stabilisation are in abundance - but not all "animals" are equal as Orwell said. Read reviews, ask at a reputable camera shop.
Shutter speed will be important for any hand held shots. Sadly slower shutter speeds are useful and can add great effects to a pic. If you need fast shutter speeds then you need a good lens with a wide maximum aperture - think money! Be sure NOT to be taken in by long zoom figures - they are useless for a steady hand without skill and knowledge and impossible to hand hold if your hand shakes.
If you really do want to be able to forget a shaking hand and allow yourself to be more creative and not constrained by shutter speed, high ISO sensitivity, wide open lenses then, as others have pointed out the devices you can use to help steady your camera - again the small easily carried variety mentioned, are likely the most useful to you.
Just to reiterate - research having decided the sort of photography you are interested in. Decide where your pics will be seen - computer screen , TV screen, printed and so on. You really do not need expensive equipment if you are never going to want to create massive enlargements. Most modern cameras should cope with pics up to around 10 inches by 8 inches. The resolution of your monitor is 72 dpi. If that's where your pics are going to be seen then again, you don't need high end "billions" of pixels, over-priced, bragging equipment.
And lastly - as pointed out higher up in the thread, do not forget your phone. It's probably always with you so on hand at any time.
https://expertphotography.com/the-complete-guide-to-smartphone-photography-96-tips/
Please come back with more questions and I'm sure there are forum members with extensive knowledge who will help.
Most of all think "YOU". My equipment might be totally inappropriate for your needs. And that's likely the case for everyone else.