Open HEAVENS (Is 64:1ff) - Oh that you would rend the heavens and come down, that the mountains might quake at your presence
The key here is if they are going to have any success God has to move first.
Open HEARTS (Acts 16:13-14) - The Lord opened her heart to pay attention to what was said by Paul.
With Lydia, it was God who opened her heart. We need God to do that wherever we go.
Open HOMES (Jn 4:39) - Many Samaritans from that town believed in him because of the woman's testimony
Many times throughout the gospels and Acts whole households would believe. We pray for that over communities. Households and communities would come to Christ together.
Open HIGHWAYS (Is 40:3) - A voice cries: “In the wilderness prepare the way of the Lord; make straight in the desert a highway for our God.”
We pray for God to remove barriers to the gospel and make a pathway for us to share the good news.
Open HANDS (Matt 10) - "therefore pray earnestly to the Lord of the harvest to send out laborers into his harvest.”
I know the verse above is 9:38, but chapter 10 really highlights the partnership God wants in bringing the good news. We pray for God tp bring new partners out of the neighborhoods we're praying through.