With iGoogle shut down I haven't been able to replicate my homepage through other services. I'm not asking for a generic replacement for iGoogle, but how to accomplish a specific use case whether through a third-party dashboard, browser extension, or some DIY solution.

I need an interactive Gmail inbox, Gmail Tasks, and Google Calendar in the same Firefox tab. If hosted by a third party, they need to authenticate safely using the Google account that I am logged in with. Other widgets would be useful but I only require those Google services.

I'm using Gmail itself for now but there is hardly room for the other widgets in the sidebar. Both Google Sites and igHome won't reliably load the services, especially Tasks. Netvibes requires raw login information for third-party services.