Electric heat and oil heat each have advantages and disadvantages. Neither are the most popular type of in-home central heating -- natural gas is generally more popular and more efficient.
Electric heat is clean and quiet, but it's getting more expensive all the time. Many regions are introducing time of use pricing, which means that power costs more at certain times of the day. Relying exclusively on electric heat could be very expensive under this system.
Oil heat is slightly less expensive than electric heat, but some people notice an oil smell in their homes with this type of heating. Also, older oil furnaces can leak, which can leave a disastrous mess in the home. Householders with oil heating sometimes have to pay higher insurance premiums.
Whether you have oil or electric heating, there are ways to get more heat for your money. Check the weatherproof strips on windows and doors every year, add insulation to your attic and shut off heat vents or the electric heater in rooms that aren't used very often. If you have an oil furnace, use a programmable thermostat so you can set the temperature lower at night and when you're not home.