Here is how I search on Twitter

  1. Searching term in tweets of people I follow

     aeropress filter:follows
  2. Searching a term in the tweets of people from a particular list

     aeropress list:anildigital/classy
  3. Searching term in the tweets of specific person

     aeropress from:mehulved

These are some pretty regular ways I search on Twitter. But for more specific searches, you can read more here