I briefly lived with oil heat and it was miserable. ~$400 every 3 weeks to barely keep the pipes from freezing. And the oil company was miserable to deal with, delivering oil we didn't order and charging us anyway.

Since then we've made oil heat a nonstarter for any apartment we look at. Unless the house is otherwise updated with modern insulation, windows etc. the oil is gonna be a money sink and not worth imo.