There are many meanings within the Hebrew feasts. On one level, there is the historical meaning. On another level, there is the prophetic meaning of Jesus. On yet a third level, there is the personal, spiritual level. The Hebrew feasts represent what happens within us, readers, when we accept Jesus as our Lord and Savior.
Jesus is the Passover Lamb. When the Hebrews spread a lamb's blood on their doors, the Death Angel passed over them. Likewise, the sacrifice of Jesus granted us eternal life; Death again passes over us. This ties into the spiritual and personal meaning of Passover. The spiritual Passover is whenever a person accepts Jesus as his or her Savior. The spiritual Passover is the acceptance and receiving of eternal life. It is the start of entering the covenant with God and beginning the transformation. And this can happen at any time during a person's life and at any time of the year.
Unleavened Bread is considered an extension of Passover. By accepting Jesus into our hearts, He cleanses us of our sin and removes the leaven. Leaven represents sin.
Next comes the feasts of firstfruits. People who accept Jesus into their hearts completely begin to bear spiritual fruit. These display themselves with acts of charity, generosity, and compassion. "The fruit of the Spirit is love, joy, peace, longsuffering, kindness, goodness, faithfulness, gentleness, self-control." (Galatians 5:22-23) It is in helping people.
"If you abide in Me, and My words abide in you, you will ask what you desire, and it shall be done for you. By this My Father is glorified, that you bear much fruit, so you will be My disciples." (John 15:7-8)
Pentecost or the Feast of Weeks is simply the time spent serving the Lord. The spiritual fruit from the Firstfruits is what we use for our service. These are charity (James 2:15-16), guidance (James 4:19), love (1 John 4:7) and so on.
The Feast of Trumpets is the announcement of our entry into Heaven. Just as the Trumpets announce the second coming of Christ, so too does the Trumpet announce our coming into Heaven.
Day of Atonement is Judgment Day. All people - Christian and non-Christian - will appear at the Judgment seat (2 Corinthians 5:10). For the people who have celebrated their Passover and who shared the Passover lamb, they will have an easy time of it. Allowing Jesus to fill our hearts transforms us into His image.
"Love has been perfected among us in this: that we may have boldness in the day of judgment; because as He is, so are we in this world." (1 John 4:17)
Finally, there is Tabernacles. At Tabernacles, we reside with God in Heaven. The earthly life has reached its completion, and the purely spiritual existence has begun. This is the eternity that we hoped for - eternal life, a place of perfect peace, joy, and harmony. The Hebrew feasts prophecy Jesus, and they also prophecy the individual Christian's spiritual journey from accepting Jesus to dwelling with God forever.