Paint for doors and other woodwork
For woodwork you'll need an undercoat and top-coat . Traditionally these have been oil-based paints however now you can get water based paints for woodwork to.
Interior door paint will be diiferent from exterior door paint which need to be more hard wearing. Check on the tin or ask at your paint shop and make sure you get the paint that is suitable.
Oil-based paints cover well and are hard wearing. The disadvantage is they are solvent based and quite smelly until dry. Check on the tin for the VOC sign(volatile organic compounds). Oil based paint have a high VOC rating which is more damaging to the environment. You will need to clean your brushes with white spirit.
Water based based paints may need more coats to get a good finish and aren't so hard wearing. I tend not to use them for exterior exterior woodwork. The advantage is they are easy to apply, don't smell much, and you can clean your brushes with water.
So both have pros and cons. Try them and see which one you prefer.
So for instance a good paint for exterior doors would be Dulux Weathershield gloss. A hardwearing flexible exterior paint. For interior door paint a good choice would be Dulux Satinwood.
Both of those paints are available in oil based or water based versions.