Our analysis traces the complex and fragmented housing trajectories of Ukrainian refugees in Hungary. Our starting point is that the refugees fleeing the Russian-Ukrainian war form a group with somewhat different composition in Hungary than in other EU member states, which could justify the development of a different refugee care strategy in the countries concerned. We draw the domestic aspect of the phenomenon based on our mixed-methodology research with Ukrainian refugees (interviews - N=11, quantitative online survey - N=460). The fieldwork not only provides a snapshot of housing in December 2023 but also looks back to the refugees’ first housing after arrival and traces their subsequent moves. The paper tries to look behind the housing trajectories, the housing rearrangements over a period of almost two years, and to provide clues regarding other factors determining the housing impact of Ukrainian refugees. Among these factors, we focus on the impact of the offer of solidarity housing by citizens that is not part of the national refugee assistance strategy. Our related results detail the added value of private solidarity housing but also highlight that it can be risky and unsustainable without adequate support.