Furniture also depends on where you buy it. Goodwill is a good place to find things when you start out. Their inventory changes constantly so you don't have to settle on one thing.

You can call the place you are planing to move to and ask about the average cost for utilities in the same area and size of place you have. Most managers or landlords know approximately these costs.
Depending on where you are moving you might need to factor in direct sunlight and wind exposure into the cost of utilities. For instance what're I live it's very hot, so you would not want a place that faces the sun in the afternoons, needs good shade and tight workmanship so the AC stays in your apartment and not flowing out the cracks by doors and windows.