For a budget trip to Kursk, consider an economy hotel room or an apartment with a kitchen. Compare not just the nightly rate, but also food costs and travel to the places you want to visit.
Start with the central part of the city: NevSky has Economy rooms, with the circus and 1 May Park within walking distance, while Tri Peskarya is near the historic centre. For sightseeing walks, consider Lenina Street and Red Square, home to the Kazimir Malevich Exhibition Hall.
If you mainly need somewhere to sleep, consider an Economy room at NevSky; if you want to cook, Violet has a full kitchen and a washing machine. Violet sleeps two adults and two children, but requires a deposit, returned after cleaning on departure day provided there is no damage or complaints from neighbours.
Compare the total price for your dates and guest count, add transport and food costs, and budget for any deposit due at check-in. For example, the apartments on Anatoliya Deriglazova Avenue and Evgeniya Klevtsova Street charge extra for the third and fourth guests, while Fatezh offers free breakfast but is in another town, 48 km from Kursk.