If you are a reserve pilot at the airport, do not notify yourself for a trip or extension until the last possible minute (right before the leg departs or you duty out, whatever comes first). Remember you are under no obligation to answer your cell phone while at work, they must ACARS you (which they are terrible at doing) or otherwise notify you (put a note on your release, have the station tell you, which also never happens as it should.)
The reason for this is two-fold. First, if you notify right away, now you are "legal to start, legal to finish". If they tack on an overnight, and you divert in the middle of the trip which would put you over 8 hours including the overnight, tough cookies, you're still going on the overnight. Not so much if you haven't notified yourself... now you are over 8 hours and they can't legally assign you anything.
Also, the 11 hour rest in domicile only applies when they schedule you. If you are scheduled for 11 hours of rest, but due to operational delay you are delayed 2 hours, guess what, you just got 9 hours of rest. Now, they can't take you below 9 hours, but still, you lost 2 hours of rest (which would have covered your drive to and from the airport, riding on the bus, etc.) Had you not notified yourself, you would just be receiving your assignment at that point, and could say, "I need my 11 hours of domicile rest," which would cause them to either give it to you, or take away the trip and give it to somebody else.
Not notifying yourself (while on a non-ready reserve trip) until the last possible chance is the best way to protect yourself on reserve. If they get you legitimately before you planned to notify yourself, well, you got beat. But usually that doesn't happen and you get a bit of a benefit from waiting.