The process of Saranagati is humility, rejecting everything unfavorable to devotion, accepting anything favorable, faith in the Lord as one's sole protector, accepting the Lord as one's sole maintainer, and total dedication of the self.
The qualification: honesty, enthusiasm/eagerness, patience/tolerance, determination/commitment, sincerity.
The process in its simplest form: chanting the Holy Name, reading the Bhagavatam, associating with devotees, visiting the holy places, and worshiping the deity.
In broader form: hearing, chanting, remembering, serving the Lotus Feet with humility, praying, deity worship, following the order of the Lord, relating to the Lord as one's dearmost friend, total dedication of one's life.