What types of birth were meant by 'blood', 'will of the flesh', and 'will of man'?

Born of blood is a reference to circumcision:

   Ex 4:26 So he let him go: then she said, A bloody husband [thou art], because of the circumcision.

Born of flesh refers to natural birth since 'flesh' also means 'carnal'.

Born of the will of man is plain meaning that God chooses us. We do not choose him since we don't even seek him:

   Ps 14:2 The LORD looked down from heaven upon the children of men, to see if there were any that did understand, and seek God. 3 They are all gone aside, they are all together become filthy: there is none that doeth good, no, not one.

   1Jo 4:19 We love him, because he first loved us.