A study by Case policy researcher Richey Piiparinen found that the neighborhoods you think are trendy and worth moving to are, in fact, the trendy neighborhoods where 25-34-year-olds are moving to: Downtown, Tremont, Ohio City, University Circle, Edgewater, Kamms Corner. Also, bafflingly, Old Brooklyn.
Data suggests that walkable inner-rings like Cleveland Heights and Lakewood are becoming hot destinations for young suburban folk galumphing in from the likes of Strongsville and Pepper Pike.
Have a look at this neat map that the PD put together to visualize the growth. Lakewood takes the cake: 3,148 young adults have migrated there in the past decade.