Did Lord Vishnu & Goddess Lakshmi Have Kids?
In most incarnations of Vishnu and Lakshmi, they have children, but in Hayagreeva's incarnation, Lakshmi worshiped Sada Shiva to have children with Hayagreeva, resulting in the Haihaya dynasty. Other famous sons of Lakshmi are Kardam, Prajabhoot, and Chikleet. In addition, according to Agama and other scriptures, Kamadeva is also a son of Lakshmi and Vishnu, who have also adopted Prahlada and Dhruva as their sons.
It is worth noting that there are no children of any other gods because the main Goddess Parvati cursed all gods from having children due to their self-centeredness and lack of patience when they bothered Shiva and her.
This is why the children of Avtaars are not worthy of worship, but the sons and daughters of Mahadev are seen as deities, even higher than Parabramha according to Vedas and are highly worshipped in Sanatana. No yagya pooja, anushthaan, sadhna, mantra jaap, yog siddhi, tapas or any spiritual practice will bear fruit unless Ganpati, Guaree and Kartik are propitiated. By worshipping them before all other gods, all goals will be achieved successfully.