it would be nice if when a trade is offered to you or when one you offered is accepted if you got a notification in your private messages, that way you won't miss out on a trade just because you happen to be working on another league and also if you have a trade accepted where you are shopping players/picks to several teams you would be able to immediately update the offers if one of your current offers ended up being canceled due to the trade that went through

You already get these notifications via e-mail (if you have notifications turned on).

They don't necessarily contain all the info you need, but neither do the PMs that come with trades.

this only helps if you are actually looking at your e-mail, the reason i said private messages is so you would be notified if you are on MFN and just happen to be looking at a different league