Having looked at furnished and unfurnished places recently (houses rather than apartments), I found the standard in furnished places was marginally higher (cleaner, brighter) than unfurnished (larger, cheaper).
Eventually I went for a furnished place and left my houseful of furniture behind - it wasn't worth much anyway.
The downside is that I'm paying more for their furniture, most of which would not be my choice and some of which is not great - not comfortable sofas - some dreadful paintings. The upside is that I don't have moving expenses - was able to do it all in my own car and will easily be able to move out.
You won't have the hassle of paying out for worn furniture if you rent unfurnished, but because the vast majority of places are furnished, your going to have fewer people viewing because the system currently dictates that vast majority of tenants aren't going to have furniture. Those who do will want a couple of hundred less for the fact that they bring their own stuff but they may stay longer as they are likely to be more settled and its more hassle for them to shift from place to place.