I use lemishine from Walmart. It works the best as a cheap alternative. The best overall mixture for super shiny brass is the hornady sonic cleaner with lemishine. I bought a gallon of it for a decent price. Lemishine is a few bucks.
1:1 vinegar and water and a few drops of dawn. Works like a champ. Does not get them super shiny but add some Birchwood Casey Case Cleaner and your good on that end.
This is some dirty nasty old range pickups that I cleaned using just Hornady sonic solution, them tumbling in corn cob for a little while with frankford Arsenal brass polish.