Yes, utilities can be the big surprise, especially if the metre readings tend to get estimated for a while before they do an actual reading, and then you wind up with whopper bills.
Here, most of the time, water, heat, and garbage disposal are included in rental properties (ie: apartments) (whatever heating system the building may have) and you have to pay for your own power, phone, cable, Internet, like that. Every place I've ever rented included heat, garbage, and water.
As for estimating power costs, Moonbear's on the money with asking to see the previous tenant's power bill. We can't guess for you, because the cost of power varies widely depending on where you live and how big the space is that you're in. And even, as an example, I pay less for power in my two bedroom condo than I did in a rented one bedroom and den apartment. About $20.00 a month less in a condo that's almost 500 square feet larger than the rental apartment. I don't know why that is.
Anyway, yes, good advice, ask to see previous bills. Find out what utilities are included in your rent.