At least in my experience, priesthood changes one's relationship to the Eucharist in unexpected ways. There are things I miss, and other, unexpected graces for which I am grateful.
I miss being given the host, that brief but profound interaction of two members of the Body of Christ, becoming the Mystery they receive. There are certain spiritual lonelinesses that come with the priesthood, and this is one of them.
On the other hand, to be privileged to offer the Sacrifice to God, or within God, is almost overwhelming at times. This aspect of the change in my sense of the Eucharist is one I didn't expect. I think I was more or less raised to look at the Mass as a kind a communal prayer, a fraternal gathering in praise of God, and of course it is certainly those things. But I never thought much about the Mass as sacrifice until I was a priest. Then it forced itself on me--the intertwining of the Mass with the Lord's Passion, the humility of the Son of God breaking himself into our hands and shedding his blood into our mouths--these sorts of spiritual senses began to appear for me when I started myself to the offer the Mass.
Also, there is an increased familiarity with the Blessed Sacrament that comes with the priesthood; you deal with It in other contexts apart from Holy Communion. You re-arrange hosts in ciboria and pyxes, and fill and replace hosts in the luna, for example. You gain the random skill of knowing if a bunch of altar breads in a ciborium is 50, 100, or 200. This daily familiarity only makes the sacramental mystery more amazing, though, because it leads the heart to awe of the God who chooses to be revealed in this almost unimaginably humble way, cutting right through all of our worldly ideas of what the almightiness of God should look like.
O admirable heights and sublime lowliness! O sublime humility! O humble sublimity! That the Lord of the universe, God and the Son of God, so humbles Himself that for our salvation He hides Himself under the little form of bread! Look, brothers, at the humility of God and pour out your hearts before Him! Humble yourselves, as well, that you may be exalted by Him. Therefore, hold back nothing of yourselves for yourselves so that He Who gives Himself totally to you may receive you totally” --Francis of Assisi, Letter to the Entire Order.