Eviction and Expulsion have wider meanings than the ones that Rachel and Shawn have given but their definitions are adequate for understanding your sentence. In your sentence, "eviction" is the better word to use. I will note that, in the U.S., people are unlikely to get evicted for not paying their utilities bill. They are more likely to just get their utilities shut off. What will get them evicted is not paying their rent or not making their mortgage payments.
In the context of your sentence, the two words have pretty much the same meaning.
However, both words have broader meanigns: "eviction" is usually applied to small groups of people while "expulsion" can apply to one person or a group(e.g. "the expulsion of the Jews from Iberia"). "Expulsion" is also used in many physical contexts (e.g. "a sun flare is the expulsion of stellar material from the sun into outer space") as well as biological contexts (e.g. "vomiting is the expulsion of fluids and solids from the stomach and esophagus")