This is a question that a Realtor cannot answer. It violates Fair Housing statutes. You can check with the local police departments for crime statistics. You can go online to crimereports.com and get information there. Google some of those items and cities, and sometimes they have them on their own web sites.
Which is a "better" community/neighborhood is also a matter of Fair Housing, as well as a matter of preference for each individual. You could collect 150 opinions...for each city! It depends upon what you want and what preferences you have because each community has many similarities (i.e., they are both first-ring suburbs, housing stock, etc) and many differences. I always recommend that buyers (especially out-of-town) buyers, drive around the areas they have interests in, and take a look around at the amenities and differences. For example, do you want to be near Whole Foods? Or is there a particular school you like? Or do you like lots of children in a neighborhood, etc. All these things can be determined by you. If you are from out of town, you can even rent with a "short-term lease", thereby allowing you to take the time to familiarize yourself with the areas you have an interest in. Maybe a 6-month lease? There are a number of short-term rental buildings in the area, including Beachwood. That way, you can allow yourself the time to know the area(s) without feeling pressured.
Sorry, but it's just not a response you will get from a Realtor!
Hope this helps a bit, and if you need to know what houses are on the market, certainly give me or another Realtor a call and we can provide housing information for all communities for you. Or if you would like names of the short-term rentals, we can provide that as well. We have a lot more current, updated information than is many times found on other sites (but this is not to say Trulia or any other site is not good...they have their purposes, too!)