[Dr. Eckleburg]

Presbyterians do not believe in the error of baptismal regeneration espoused by the RCC and EO (I assume since you seem to preach it.)

Our children are gifts from God and as such, they are a part of His family, created by God from before the foundation of the world.

"For the promise is unto you, and to your children, and to all that are afar off, even as many as the LORD our God shall call." -- Acts 2:39

Baptism is a sign and seal of His grace.

WESTMINSTER CONFESSION OF FAITH
Of Baptism

[kosta50]

Our children are gifts from God and as such, they are a part of His family, created by God from before the foundation of the world

How do you know they are not 'reprobate' destined to hell?

[wmfights]

VI. The efficacy of Baptism is not tied to that moment of time wherein it is administered;[16] yet, notwithstanding, by the right use of this ordinance, the grace promised is not only offered, but really exhibited, and conferred, by the Holy Ghost, to such (whether of age or infants) as that grace belongs unto, according to the counsel of God's own will, in His appointed time.[17]

In your church you make no claims of infusing the child being baptized with the Holy Ghost. The Holy Ghost will indwell the believer when they believe. In my Baptist Church we baptize after belief and repentance, but neither one of us is claiming the Holy Ghost is indwelling a nonbeliever.