Best Digital Camera New or Used Under $200

They are about the same. Good image quality will not be achieved in that price point unless you get very lucky on the used market.
Indoor lighting is always a challenge and will always be better with a camera with a larger sensor.
Generally for videos in doors, you also don't need (or want) a camera with lots of "zoom" what you want in a lens is a very wide angle lens. Minimum of the equivalent of 24mm. This might be different if you are taking photos of very small items. In which case you want a camera with a good macro capability. You should also invest in some lighitng. Light boxes and a small studio type setup (backdrop, or a product box of some kind). It need not cost a fortune (but the good ones do and they are worth it). The cheapest of the cheap would be something like this:
http/www.amazon.com/LimoStudio-Photography-Studio-Lighting-AGG349/dp/B005CX9S8A/
Good lighting will do more than a good camera. If your work involves more ad-hoc shooting, you should consider the Panasonic LX100 which costs 5-700 depending on bundled items. This is a better low light camera, good all around. Price is now fairly discounted because it has been on the market for 18months. Here is a professional review of the item. http/www.dpreview.com/products/panasonic/compacts/panasonic_dmclx100
Alternately get a camera with an inter-changeable lens such as an DSLR or something similar which will give better results but once you factor in the lens, it won't be cheaper.