Background: The COVID-19 pandemic has had a major effect on both older people with dementia and families caring for them. Methods: This paper presents the results of an online survey carried out among Italian and Hungarian family carers of people with dementia during the first pandemic wave (May–July 2020, n = 370). The research questions were the following: (1) How has the pandemic changed the lives of family carers? (2) How did government restriction measures change the availability of care-related help? (3) What other changes did families experience?