Seeing that things are plugged in correctly taking the common sense approach of esd precautions when handling components for a start. Resting the old board as well as new one if still good on a non conductive surface until stored away in an antistatic bag as well as seeing the expansion cards along with memory are fully down in slots, and the cpu is down correctly and secured are necessary.
Once all of that is done you still have the hsf to install with the thermal paste/compound applied correctly and rechecking all power connections before the initial powerup. But once you have done this a few times you soon learn just what to look for if the system fails to start for some reason like forgot the four 12v cpu feed? Maybe you have to replug that in again only very lightly due to a loose contact? Just a few things like that to start with.