Good set of tweezers that don't break the bank? Sorry, but no such animal exists.
Cheap tweezers aren't good, and good tweezers aren't cheap.
I only use one pair of tweezers for everything; except hairsprings of course ... a pair of Gold Plated Brass Dumont #4's that I've custom shaped just the way I like them.
Brass tweezers don't ping parts like steel, never become magnetized, have a lovely soft free, and I never have to worry about marking parts with them.
I've been using them 8hrs a day, 5 days a week for 7months, and at the most I have to give them a light dressing once a week.
... I will cry when they are worn out :(, and they will receive a royal burial with full military honours.