I get this question of concern a lot. Most of the time its from women but occasionally from men as well.
In short, NO, you won’t get “bulky” from working out with weights unless you have the intent of getting bulky by eating in a caloric surplus and really pushing your training volume.
If you’re concerned about looking like a bodybuilder, you will need to accidentally have 4-6 pretty intense high volume training sessions weekly and you will need to eat a massive amount of food to recover from that type of exercise.
Many people aspire to get bigger, stronger, and more “bulky” and those individuals don’t accidentally become that way. Muscle isn’t built by accident.
Many people may overeat, lay on the couch and in turn find themselves significantly fatter than they once were. Others may under eat, stop resistance training and find themselves significantly skinnier than they once were. NOBODY, just happens to accidentally get massive in muscle, so that shouldn’t be a concern!