Hi Seven,
Secular priests are bound by an implicit vow of chastity that results from taking orders. Their obligation to obey the bishop does not come from a vow, but from Canon Law.
Religious, such as Franciscans, Jesuits etc., as well as orders of brothers and nuns, take the three vows of poverty, chastity and obedience. Their vow of poverty means that their use of property is subject to the will of their superiors. The vow of chastisty obliges them to celibacy and a chaste life. Their vow of obedience submits their daily activities to the direction of their superiors. There is, in these three vows am implicit obligation to strive for Christian perfection.
Does this answer your questions?
Verbum