What type of Hall Effect sensor is cheap and common? for rotation sensor with magnet.

You need to search thru a catalog (Mouser, Digi-Key, or Allied). For your application it probably does not matter whether it is bipolar or Unipolar. Prices range from $1.50 up. A switch type rather than linear would fit your use.
 
Cookies are required to use this site. You must accept them to continue using the site. Learn more…