More than 2,400 jobs are at risk across the country after the retailer sank into administration on Monday, just days after it closed all its stores due to the coronavirus outbreak.
The business will still look after customers' appliances until their contracts run out.
Leeds West MP Rachel Reeves has since offered advice to anyone in her constituency if they are a BrightHouse customer.
Ms Reeves said: "As you may have seen in news reports over the weekend, the rent-to-own firm BrightHouse is likely to be calling in administrators in the next couple of days.
"We have a BrightHouse store in Bramley and I know that many local people, especially those on low incomes, use the shop to purchase goods, such as fridges, washing machines and sofas, that they would otherwise be unable to afford.
"Whilst it has been announced that customers should continue to make payments even if the firm do go into administration, I know that may not be possible for some people, particularly those whose income has been affected by the current coronavirus pandemic.
"If you are unable to afford your repayments, you are entitled to request a payment break or a more affordable payment plan.
"Please do let me know if you are struggling to arrange this at [email protected] or on 0113 255 2311.
"You may also find it useful to contact local debt charities for support, including Money Buddies on 0113 235 0276, Stepchange on 0800 138 1111, and Leeds City Council's Money Information Centre at https://www.leeds.gov.uk/leedsmic."
BrightHouse has three stores in Leeds - in the Merrion Centre, in Bramley and in the Crossgates Shopping Centre.