There is much to consider when making a move to a new home - don't forget saving money on utility bills. If you want to save money on your utility bills - consider tips in the EnergySavers guide from the U.S. Department of Energy.
Buying energy efficient appliances should be a priority when you make a household move. Energy efficient appliances can be easily identified by looking for the yellow ENERGY STAR® label. Appliances that have the ENERGY STAR® label meet U.S. Department of Energy guidelines for energy efficiency. The ENERGY STAR® label means that you can expect to use 20-40+% less energy over the course of a year. The same applies to big ticket items like water heaters, furnaces and air conditioning units.
To reduce drafts and loss of energy, you should also make sure you have adequate insulation throughout. Replacing older windows with newer double-pane glass windows can keep cool/warm air from escaping your home. Some government agencies provide tax credits and rebates for improvements - go to www.energy.gov/savings for details.
If you don't have the money for big-ticket items, there are smaller items you can buy than can save you money over time. You can turn down the heat and air-conditioning throughout the day by installing a programmable thermostat. Replacing older incandescent bulbs with more energy efficient (i.e. LED/CFL) bulbs to reduce energy usage. Spend a few bucks on expansion foam or caulk to seal holes around vents, wires and pipes leading into the house.
Any energy improvements that you can make within your budget will help you save money for years to come.