"Good" is a relative quality. So is "budget". If you want the most control and best quality, a DSLR will be a good choice, if you can find what you want for the price you are willing to spend. These cameras give you the option of changing lenses, and they have a wide range of lenses to choose from. If you are willing to look for a used camera, the price could start around $300. New ones tend to start at more than double that price. Most major brands will give you good quality.
Otherwise, you might do fine with a point-and-shoot camera, which you could find used starting around $60, or new for around $150 and up.
It all depends on what level of camera is good to your needs.