Start the verse low and unhurried. I wrote the melody in steady, declarative quarter notes so your congregation can ponder the sacrifice of Jesus. Save your energy for the chorus, which leaps a 6th, and let that diminished chord on “how wonderful” tug at hearts.
The bridge is the pinnacle of the song, so build toward it. Those two lines, “He had no tears for His own griefs, but sweat drops of blood for mine,” were the seed of the entire original hymn.