There are many good places to live near downtown Cleveland. My own daughter just moved from Columbus after 15 years to the Tremont historic district. She loves it! She can see the ball park from her patio. They are also renovating and building new condos and townhomes downtown that are very nice and vibrant. My own company Realty One in Cleveland, is involved in many of these projects. Check it out with a local agent that knows of these areas and more. Good luck!