Power and water hook up I already know. We are just moving our cable so no charges there.
Will you be changing companies for water/power/gas? If so, be prepared for possible deposits with all of these. Many companies now allow deposits and connection fees to be billed, but our local electric co-op requires all of those to be paid before service is turned on.
When we moved, we ate out much more, since all our dishes were packed away. Good to include food in your budget.
If you move from a newer home to an older one, or vise versa, you may need to change your dryer cord. There are two different cord designs, depending on how the ground is handled at your new house. 15 to 20 bucks
We hit Wal Mart, Target, and Big Lots at the end of the Christmas season, and stocked up on Rubbermaid containers that were on clearance. They really made the move easier.
Also, you mention it's only across town, so you won't need a moving truck. Sometimes, it's less hassle to part with $75 and fill the truck, moving it all at once instead of many smaller trips with your car.
Last, we never seemed to budget for window treatments. So, it was sleeping with a temporary curtain on the window the first night until we replaced it with blinds. When you add up all the windows, it gets pricey.