The thought I want to introduce is that the Gospels are historical narrative. They are mainly descriptive in nature, but not necessarily prescriptive - applying directly to us - unless it is clearly stated in the text.
This means that the reference in Matthew that reflects Isaiah 53 refers to Jesus' healing of people as part of His ministry to the Jews. But there is no direct text that says that the reference applies to anyone else other than Jesus. Also, we see the descriptions of how Jesus went about healing sick people, but no prescriptive indication that we will have the same success if we copy Jesus' methods.
There are other examples of descriptive narrative in the Gospels and Acts, and it is assumed by many that they equally apply to us today, even though there are no statements in the text that they should apply to us. What we need to do is to carefully examine the Biblical text to see what it actually says, not what we may think it says.
For example, Jesus made clay out of His saliva and the dust of the ground, put it in blind man's eyes and told him to go wash it off. The man was healed. But there is nothing in the text that says that we can do the same and get the same results.
There are people who believe they can walk on water and control the weather because Jesus did; yet there is no indication in the text that this ability is transferred to us.
We know that Peter, John and Paul had remarkable healing in their ministries, even people rising from the dead, but this is again, descriptive narrative with no indication that ordinary believers can do the same. The ending of Mark where it says that believers can lay hands on the sick and they will recover, is doubtful, and the best manuscripts leave it out, we we can't rely on that reference. Yet in the book of James, the elders of the church are able to lay hands on sick people and expect that the Lord will raise them up. This is an indication that what James says is prescriptive for all church elders, but not necessarily for rank and file believers.
But we can pray to the Lord for healing of sick people, because Philippians 4:5-6, about making our requests, with thanksgiving, known to God is prescriptive for all believers. The verse, "The effectual fervent prayers of a righteous man avail much" is also prescriptive for all believers. But a text prescribing that ordinary believers who are not church elders can minister healing outside of the local church environment, is hard to find. This is probably the reason why many who are not church elders running around laying hands on sick people, commanding healing are not successful.
Just in case some doubt, I am a Reformed Restorationist Charismatic in my theology, and firmly believes that God does heal today. But God is sovereign and heals a sick person when He decides to. He is in control of it, not us. We can ask Him to heal someone, but we can't command it. We can't minister healing in the same way that Jesus did, because we are not Jesus. There is a Word-Faith teaching that we can be "little gods" and be the same as Jesus. They teach that Jesus was not divine before His resurrection and was just a normal human filled with the Holy Spirit. This is actually the Arian heresy condemned by the early church. But the Word-Faith people say that because Jesus was an ordinary person empowered by the Holy Spirit, we can be just like Him, because we are just ordinary people empowered by the Holy Spirit. But this is a false teaching based on heresy.
In summary, what I am doing is to bring us back to what the Bible actually says, not what we might presume what the Bible should say between the lines. We can't speak anything into being like God can, because we are not God. We can't heal sick people like Jesus did because we are not God and man like Jesus. We cannot do the signs and wonders like the Apostles, because we are not Apostles of Christ who personally witnessed the resurrection of Christ, and were personally appointed by Him. Sorry to disappoint.
Oh, come to think of it, because we are all filled with the Holy Spirit, and 1 Corinthians 12 lists the gifts of the Spirit, which we are encouraged to earnestly seek, the gifts of healing are in the list. This means that some who receive that gift of the Spirit, but the caveat is "Do all speak in tongues? Do all prophesy? Are all Apostles? and by implication, "Do all have the gifts of healing?" It is because the Spirit dispenses the gifts according to His will (not ours). Just desiring a certain gift does not guarantee that we will receive it.
The OP asks, "Jesus' healing ministry, what can I learn?" Well, these are the things I have learned, by just reading the Bible.
