That gap between leases is so common around here and it can be a total nightmare to coordinate. I ran into this exact problem last year and the moving company Flash Moving really saved the day for me. They offer some of the best storage solutions in Boston for people in exactly your situation
https://www.flashmoving.net/storage/ . They picked up my stuff, kept it in a secure, climate-controlled facility for the weekend, and then delivered it to my new place on Monday morning. It was so much easier than trying to rent a self-storage unit for just a few days. Since they handle commercial and residential moves, they have a very organized system for tracking your items. Everything came back in perfect condition and I didn't have to worry about my furniture sitting in a damp basement somewhere. It is a total lifesaver for any transitional move!
