You can make an educated guess about living expenses by looking at those routine expenses and how they are impacted by different neighborhoods. Start by looking at your commute to work. Depending on the area, you may find yourself with additional public transportation charges. This may include parking fees if you need to drive to the public transportation. You may need to drive more miles from your new neighborhood into work. Take a test drive from work to this new neighborhood in rush hour to calculate mileage and to see if you can put up with the different traffic patterns. Once you know the additional mileage you can guess on the additional gasoline you will need to buy, make sure to add extra for potential rises in the cost of gas.
Your car insurance costs may increase depending on the area you live in. Your insurance agent may be able to provide you with estimates of changes in insurance costs for different neighborhoods.
Your everyday costs such as food may also increase. A good test is to go food shopping in the new neighborhood. Buy what you normally would and see if the costs are higher or lower than what you usually pay. Do the same for other items you routinely purchase. Generally food costs are usually highest right in the heart of the big city and are the lowest in suburbs.