I don't want no trouble!!
I guess the thing for me is I didn't really process the word "proceeds."
I think I may have an idea how that is different, but not sure. The Holy Spirit, as the third person of the trinity, proceeds rather than (for lack of a better word) is manifested by the father or the Son. Sort of under his own power. So, if he proceeds from the father AND the Son, he is the weak link of the trinity? That can't be right though, because insisting that He Proceed from the fathwer alone would be tantamount to saying both the son and the holy spirit are less than the father. (Or are they?)
I think I need a beer.
Or wait. Maybe the Son can SEND the Holy Spirit, as in, "hey. get down there..." But as it proceeds, it proceeds from the Father, and not both. Is that it?
Yes, in the second quote you are getting at the difference between proceeds and sends in that Christ 'sending' the Spirit to the Apostles, etc is a temporal event. The verses about sending are about how the Trinity relates to the created world--the Father has sent His Son, and then the Son sends the Spirit, at specific points in time to do particular things in the world. Before the Annunciation, the Son was not 'sent' by the Father, and before Pentecost the Spirit was not 'sent' by the Son.
On the other hand, the Son was 'begotten' of the Father before all ages. There was a time when the Son was not sent, but there was never a time when He was not begotten. This is the eternal relationship between the First and Second Person of the Trinity which has been revealed to us as what makes them distinguishable Persons--that One is the Father and One is the Son (and the Father and Son are One). Likewise, the procession of the Spirit refers to His eternal relationship to the Father--and to the difference between that relationship and the relationship of the Father and the Son. That is, the Trinity is One--but it is also 3. But because the Trinity is One, the only way that the 3 persons can be distinguished by our created minds is by the revealed relationships between them, that one is the Father, who begets and is proceeded from, one is the Son who is begotten of the Father, and one is the Spirit who proceeds from the Father. Anything more than that is to beyond revealed truth and pretend that the human mind can comprehend the inner life of the Trinity.
"You ask what is the procession of the Holy Spirit? Do you tell me first what is the unbegottenness of the Father, and I will then explain to you the physiology of the generation of the Son, and the procession of the Spirit, and we shall both of us be stricken with madness for prying into the mystery of God." — Saint Gregory the Theologian
"We have learned that there is a difference between begetting and procession, but the nature of the difference we in no wise understand." — Saint John of Damascus