Postmillennialism's believe this is a utopian period brought about by the preaching of the gospel. They see the world as getting better in preparation for the thousand years and anticipate Christ's arrival to the earth at the end of the thousand years.
Amillennialism's believe the thousand years are entirely figurative. They deny a literal reign of Christ on earth for a thousand years and regard His reign as taking place in the hearts of His people. Generally, they refer to the church as the kingdom.
Premillennialism's believe the thousand years is a literal period in which Christ rules the world after He returns to earth and judges the Antichrist, the False Prophet, and the nations.
The fact that Satan is bound, rather than immediately destroyed, seems to be part of God's message in the end times. No matter how much evidence humanity is given, those who seek to reject God will always find an excuse. After a thousand years of peace and righteousness, humans will still choose to defy God. After this final demonstration of God's justice, Satan will be permanently and utterly defeated.
The Bible tells us that when Christ returns to the earth He will establish Himself as king in Jerusalem, sitting on the throne of David (Luke 1:32–33). The unconditional covenants demand a literal, physical return of Christ to establish the kingdom. The Abrahamic covenant promised Israel a land, a posterity and ruler, and a spiritual blessing (Genesis 12:1–3). The Palestinian covenant promised Israel a restoration to the land and occupation of the land (Deuteronomy 30:1–10). The Davidic covenant promised Israel a king from David’s line who would rule forever—giving the nation rest from all their enemies (2 Samuel 7:10–13).
At the second coming, these covenants will be fulfilled as Israel is re-gathered from the nations (Matthew 24:31), converted (Zechariah 12:10–14), and restored to the land under the rule of the Messiah, Jesus Christ. The Bible speaks of the conditions during the millennium as a perfect environment physically and spiritually. It will be a time of peace (Micah 4:2–4; Isaiah 32:17–18), joy (Isaiah 61:7, 10), and comfort (Isaiah 40:1–2). The Bible also tells us that only believers will enter the millennial kingdom. Because of this, it will be a time of obedience (Jeremiah 31:33), holiness (Isaiah 35:8), truth (Isaiah 65:16), and the knowledge of God (Isaiah 11:9; Habakkuk 2:14). Christ will rule as king (Isaiah 9:3–7; 11:1–10). Nobles and governors will also rule (Isaiah 32:1; Matthew 19:28), and Jerusalem will be the political center of the world (Zechariah 8:3).
Revelation 20:2-7 gives the precise time period of the millennial kingdom. There are countless other passages that point to a literal reign of the Messiah on the earth. The fulfillment of many of God’s covenants and promises rests on a literal, physical, future kingdom. There is no solid basis for denying the literal interpretation of the millennial kingdom and its duration being 1,000 years. ~BibleRef