Some bills belong equally, some belong with the room
Rent is the argument everyone expects. Bills are the one that actually festers, because they arrive every month and never look the same twice. The useful question is not "how do we split the bills" but which bills belong equally and which belong with the room — and once you can answer that, the arithmetic is easy.
Internet, streaming and the licence fee are the same service for everyone in the flat: the person in the box room streams exactly as much as the person with the balcony, so an equal share is the fair one. Heating, electricity and water track the space you occupy. A large room with two radiators and three windows costs more to keep warm than an interior single, so those bills sit more honestly with whoever holds the bigger room. Splitting everything equally quietly hands the cheap-room housemate part of someone else's heating bill.
The mistake is renegotiating in January when the heating bill lands. Agree the rule when you move in, while nobody knows yet who will benefit, and apply it to whatever number arrives. A rule chosen behind that veil is one everybody can accept later, because none of you knew which side of it you would be on.
Splitting bills fairly on top of an unfair rent only spreads the unfairness more evenly. Work out the rent first, so each room carries a price that reflects what it is actually worth to the person in it, then add the shared costs. Fair Divider takes a shared-costs figure alongside the rent and returns one total per person: rent plus their share, in a single number you can pay.
Three housemates pay €1,000 of rent between them. An envy-free split prices the rooms at €420, €330 and €250. The month's shared costs come to €150: €45 of internet and €105 of gas and electricity.
Split in proportion to the rent, the €150 becomes €63, €49.50 and €37.50, so the totals are €483, €379.50 and €287.50. Split equally it is €50 each, giving €470, €380 and €300. Neither is wrong — the first follows the heating, the second follows the router. Pick the one that matches the bulk of the bill and everyone knows what they owe.