Can I switch from coal central heating to electric central heating easily?

I have moved into a small village where gas is not available. My older home is heated by a coal (anthracite) fueled stove in the fireplace that heats the entire home by central heated radiators. Although everything works fine, it is just too messy and is ruining my carpets and I don't like the smell either. Can the same central heating system that I have now be easily converted with an electric fireplace or is there a lot more to it than that?