The first thing you must understand is that we, Baptists and Calvinists, (of which I am both) stand on the Scriptures alone. We believe according to the Scriptures that all men are dead in trespasses and sin according to Eph. 2:1 and Col. 2:13. that being dead means that you have neither will or ability to come to Christ. You must first be born anew and given the gift of life before you can believe on Christ. We deny the doctrine of baptismal regeneration that the RCC teaches. Given the fact that we are dead in sin and unwilling and unable to come God He must first do something in us and for us before we can ever come to Christ in faith. That is the basic doctrine of total depravity.
Second is the doctrine of unconditional election. We believe, according to the Scriptures, that God chose according to the good pleasure of His will a people who are more numerous than the stars of the sky or the sand of the sea to be the objects of His love, grace and mercy. He passed by all the rest leaving them to their own wills. Election isn't God choosing to damn some it is choosing to save some since we all deserve damnation. God is in no way obligated to save any but He delights in mercy and in His sovereign love chose to save some of us wretches sending His Son into the world to accomplish all that was necessary for their everlasting salvation and eternal bliss.
Third is particular redemption in which the Scriptures clearly teach that the Lord Jesus Christ came into this world and suffered and died accomplishing redemption for all He represented. The Scriptures never speak of His redemption as making anything possible but as having actually made an atonement for sin so that God can never again hold us accountable for it. Since we know that many do not go to everlasting bliss in Heaven and do end up in everlasting destruction then either Christ died for a chosen seed, the elect, or His blood didn't do anything. He shall save His people from their sin, Matt. 1:21 He didn't die to redeem all men because all men are not redeemed.
Effectual calling is the truth that all those whom God chose from before the foundation of the world, Eph. 1:4, and Christ redeemed will be called by the effectual power of the Spirit by the preaching of the Gospel. The Gospel is the power of God unto salvation to them that believe. Rom. 1:16, 1Cor. 1:18 It reaches the dead heart and the same power that raised Christ from the dead raises the chosen sinner from death unto life everlasting in Christ. God sticks the finger of His grace and love into the heart of the elect by the same Gospel that hardens the reprobate.
Last is perseverance of the saints. All whom God chose, Christ redeemed and the Spirit calls and regenerates are kept in faith by the power of God unto the end.
Now all of these truths stand together. None stand alone and must be understood as a whole.