What is Kaivalya and Prapatti?
Excellent question, Terese; and an equally excellent description from Google:
Kaivalya (कैवल्य), is the ultimate goal of Raja yoga and means "solitude", "detachment" or "isolation", a vriddhi-derivation (incremental) from 'kevala' - alone, isolated. It is the isolation of purusha from prakṛti, and subsequent liberation from rebirth.
"Saranagati or Prapatti (Sanskrit for "surrender", Aup adds: total, unconditional, without return), in the devotional school of Hindu denominations known as Vaishnavism, is the process of total surrender to God (Vishnu or Krishna). The process of Saranagati forms the basis of devotion to Godhead in the bhakti traditions within the Sri Sampradaya, founded by Ramanujacharya (1017–1137 CE) and the Gaudiya Sampradaya, founded by Chaitanya Mahaprabhu (1482–1533 CE). Ramanuja considered surrender to Visnu and His consort Lakshmi to be the highest goal of life, while Chaitanya emphasizes surrender to Krishna and his beloved Radha as supreme."
https://en.wikipedia.org/wiki/Saranagati