bumpity bump bump

Sorry if this has been answered I looked through a few pages here but Im on a mobile. Should I wait to make an alt until my main has finished Act 1 and created a legacy name? Or can my alts not choose my legacy name until he finishes his own Act 1? I don't want my alt to miss out on legacy points while leveling up. So a part of my question is once my main creates a legacy name, can my alts take that name upon character creation? Thanks