You can install the Blocks plugin on as many computers as you want and access your account on all of them. However, you need to log out of one device before accessing another.
For example, you can use the Blocks plugin on your office computer during the day and, after logging out, access it at home on another computer at night. This is possible because you will be accessing one device at a time, not simultaneously.
Simultaneous Access:
If you want to access the families on multiple devices simultaneously, this is possible with a subscription that allows simultaneous access. Read about this type of subscription here.