Proper place to change Microsoft account password?

[GreenScrew]

I have WP8, and two Windows 8 PCs that are all linked to my Live account. I'd like to change the account password and I'm concerned about where the best place to change that from is. I can't even find where I'd change it natively on the Windows PC (other than using the browser to access the account). And my worry is that all the devices will possibly lose the connection with a password change online. Any advice, or should I just go for it using my browser and hope that the various devices will notice the password change and prompt me for the updated password?

For clarification, the Windows 8 PCs have domain accounts and are not logged on using my Microsoft account. They are linked so that my settings, favorites, app purchases, etc... are all managed.

 

[gsquared]

I accessed my account via the browser to change my password. I didn't have any issues with my tablet or phone but I do not have domain accounts associated with my devices. That could add complexity.