Is there a limit to how much fruit I should eat in a week?

I have a sweet tooth and eat candy a LOT. I'm trying to make some healthier choices though and thought a good start would be replacing candy purchases with little mixed fruit bowls since fruit is healthier than candy and still tastes sweet. My only concern is over eating fruit and if there are any side effects. so far I'm getting them anywhere from once a day to once or twice every few days. Could this end badly for me if I continue eating them this frequently?