I think of eternity with God as something like the vision of God in His temple in Isaiah 6. The seraphim about Him cry out to one another, “Holy, holy, holy is the LORD of Hosts; the whole earth is full of His glory” (v. 3).
They are not saying the same thing three times over. Each time they exclaim “Holy,” it is because they have just seen something in God that they have never seen before. And it leaves them in fresh awe.
I think eternity with God will be like that. We will always be discovering something new in God that we have not seen before. After all, He is infinite while we are finite. That leaves plenty of room for eternal wonder.
There will be continuity. We do not lose our identities. We will be in resurrected bodies. We will live upon the earth. There will also be discontinuity. No sin, no death, no sickness, no injustice. The kingdom of God will be fully manifested, the will of God done, fully and completely, on earth exactly as it is in heaven. Heaven and earth will be joined together as one. Forever. And we will live in a continual state of awe and wonder.