If you worked less than 20 days** in Berea, or any other city (other than Cleveland), you do not need to file a return for those cities.
You do need to file a CCA return and designate Cleveland as your residence city.
If you work 20 days** or more , in any other city with an income tax, you will need to file a city return for each of those cities. But Cleveland will give you a credit (up to 2.5%) for what you pay the other cities.
**The 20 day limit is not universal in Ohio. Some cities have a lesser limit (usually 12).