If I put a momentry push switch on the +supply line of the micro, what would the minimium time be that this would need to be pressed before the micro would power up, execute some code that would pull a pin high. This would fire a transistor to pull in a relay. A set of contacts on the relay would then be in parallel with the momentry switch, therefore when the momentry switch is released the relay contacts would still bypass the switch and keep the micro powered.