There is a very good parallel explanation between the first recorded miracle by Jesus, at the wedding, and the first recorded sign by the Holy Spirit, at the temple entrance in Acts 3.
When Jesus turned water into wine at the wedding feast in Cana, it is significant that He did this at the beginning of His public ministry to announce this special event, while getting Israel’s attention. It was through this miracle that Jesus was glorified, and the Disciples believed on Him (verse 11).
This miracle is a picture of Israel going into the Kingdom with great joy, with the wine representing joy. Wine is a type of the Holy Spirit and both are associated with joy (Zechariah 10:7; 1 Thessalonians 1:6; Acts 13:52).
Just as Jesus produced abundant wine for the wedding feast, Israel will experience much joy in the Spirit as they enter the Millennial Kingdom and become wedded to their Messiah for all eternity.
In the same way, Peter’s first miracle was also significant and full of meaning. His first miracle, after the ascension of Jesus Christ, was used to get the attention of the people, and it also showed that he had God-given authority.
The miracle of healing the lame man was also very significant. Israel is pictured as lame from birth. Israel was “birthed” out of Abraham, Isaac and Jacob (Exodus 4:22—23; Hosea 11:1).
However, Israel quickly turned away from God and went their own way. They were lame, spiritually, almost as soon as they were “born.”
However, Peter is giving Israel a glimmer of hope through what he is preaching. Israel can be made whole and go leaping and praising God into the imminent Kingdom. This will be made possible in the name (authority) of Jesus Christ. After leaping up, the formerly lame man went into the temple.
The temple is the location that Jesus Christ and the Disciples will be ruling the world.