Rinsing or not rinsing the container does not affect the recycling process. Labels do not need to be removed. If the paint is dried out, it can be put out with your regular household trash. Or, you can speed the drying process by adding kitty litter, shredded newspaper, or sawdust. When it is dry, put it in with your regular trash.
Stark County has drop-off sites for old tires.
It simply involves putting your trash in a different bin. Precycling involves thinking about a product before you purchase it. Buy products with less packaging, bulk items, or products in packaging that you recycle.