Possible to find temporary day care? (Boston)

My husband has to move to Boston for his job. Me and my daughter will be joining him for 4 months. Since I will continue to work for my Belgian company, we would need day care for my daughter (1 year). I will onluy work part-time, so we only need it for about 20 hours a week. We will arrive mid of November
Is it easily possible to find day care on such short notice? We also didn!t book an appartment yet, because we would first like to know if it is more difficult to find day care or to find an appartment. My husband will be working on Broadway in Cambridge...so advices on day care facilities and appartmens fom wich it is possible to easily commute there, that would be very welcome!