Yes, I think free will exists, and its confirmation largely comes on an experiential basis. That said however, what kind of free will is there? There two types of free will: compatibilist free will and libertarian free will.
Compatibilist free will asserts that determinism is true (our actions are determined by antecedent events) but we are free in being caused in the right sort of cause: internal causation, the antecedent events being our desires, beliefs, and so on. When we are subject to external causation, then do we lose some of our free will i.e. someone holds a gun to your head and demands that you give them money.
Libertarian free will is an incompatibilist position in that it asserts that determinism is false and so, our actions are completely undetermined. Our beliefs, desires, and so on do not cause our actions and, according to libertarian free will, given the exact same antecedent conditions, it is possible that a person would choose otherwise: in other words, free actions are uncaused.
I personally think the former exists and the latter is logically incoherent. If anyone cares why I think the latter is false, I'd be happy to provide a couple of reasons.