Easter Eggs are 100% Catholic, or the Trad Catholic equivalent of the Jewish "kosher".
A) the egg is a "type" or symbol of the Resurrection -- it seems lifeless (dead), but behold new life comes from it (a chick). In the olden days, ALL eggs came from private flocks of chickens, which usually had at least one rooster: the eggs were fertile. If you incubated one, it could hatch. Factory farms only came about in the last 70 years.
B) Seeking the eggs is a reminder of how the disciples and Mary sought for Christ, Who they thought was dead but was actually alive.
C) It is a Christian/Catholic tradition
D) The mind of the Church is to celebrate on Easter. It is the greatest feast day of the whole 365-day year. Even Christmas is only #2, and Pentecost is #3. Songs, parties, joy, mirth, and any good clean Catholic fun is the order of the day for Easter and the octave (8 days) which follows it.
E) The idea of squashing any good Catholic custom -- or any approved, clean fun -- which is not strictly liturgical does, indeed, sound like Jansenism. We are not Quakers or sour-faced Calvinists, or the Catholic equivalent which is Jansenists. Virtually all formerly Catholic countries (Poland, Ireland, England, Italy, Germany, etc.) have customs which sprung from the Catholic beliefs of the population. And not just Western countries, but the entire Eastern part of the Catholic Church as well. Look at how these Old World countries used to celebrate feast days! They knew how to party like Catholics.
F) The egg is one of the most nutritionally complete foods. If you could only pick one food to eat for 5 years, and your aim was survival, you would be foolish to choose anything other than eggs. It's fitting that Christ's Resurrection is linked with such a wholesome food. So the egg gives life to those who eat it, even though the egg's own life is sacrificed in the process.
G) The dying of easter eggs is also fitting because you're making the eggs beautiful. Beauty and Truth (the Catholic Faith) go together. Little kids can appreciate how "pretty" the various colors are. God made all those colors. All truth and beauty are from God. Any religious-themed celebration that involves beautiful things is wholesome and of God. It is celebrations and glorifications of ugliness or sin (monsters, certain Halloween customs) that you have to be wary of.