Did buddha ever explain who should or should not ordain and when is a right time to ordain (sutta sources)

Not vinaya information like the 13 questions, but things like a householder who has children should not ordain, or one should only ordain after being able to maintain sila for X amount of time, or when one has weakened desire enough that longing for X sensory pleasure no longer causes a burden. I did see a user "sankha" mention in a question here some information on when is right to ordain, but no sources. > When you become dispassionate in continuing the lay life or when you get enough confidence that you can successfully fend off the temptations of lay life, it is worth considering ordination. I am interested on what the Buddha said on who should, who should not, when, when not, who cannot etc ordain.