Does dental adhesives help to keep dentures from moving around? Also what is the best adhesive to use?

Adhesives aren't meant to be used on a daily basis. A well fitted denture shouldn't need an adhesive. If the denture is a little loose then yes adhesive can be used sparingly to prevent slippage when out in public. Below is a link on how to use adhesives effectively.

A step-by-step guide to using denture adhesives correctly.