Let me say one thing before we get to more important matters. We don’t become Angels when we die. Maybe more shocking to you, there is no reference to Angels having wings (those are Cherubim/Seraphim which is something different), no reference to female Angels, nor any reference to baby angels.
These beliefs flow into the void of information about Angels, and are frequently expressed by those who have only a casual acquaintance with the Bible. They have seen a Bible. Never really read it. It is also the product of medieval and Renaissance art.
Angels are a species of their own. There is no detailed description of what they look like, but the lack of description lends to the understanding that they are human-like, maybe even enough to pass for a human. In Acts, Stephen’s face is described as being “like the face of an angel.”, but there is no explanation of what that means. Hebrews suggests that we may “entertain” Angels unaware of their identity. It is implied that they look like humans.
The name angelus means messenger. Being a messenger from God is the main function we see Angels fulfilling. The species may not be called “Angels”, that is the moniker we have placed on them for lack of other terms. People, especially pastors, can be called angelus in the Bible.
One observed ability that Angels seem to have is the ability to be in Heaven or on Earth. I think this is a bigger idea than simply being able to travel. My assumption is that Heaven is a different time-space plane. One would not necessarily have a physical presence in another time-space plane unless you were made for it. In the case of humans, we acquire a heavenly body once we are in Heaven. We might not have one now.
Since Angels are creatures that properly reside in Heaven, they will be a part of our afterlife while we are in Heaven and possibly in the New Earth as well. What will our relationship be like? Other than to say good, it is hard to say the types of interactions we will have with Angels.
Currently, the Bible suggests that they assist us now behind the scenes. The book of Daniel speaks of Angels assigned to whole nations. In the case of Israel it is Michael. Michael might be a type of super-angel, however. In Matthew 18:10, Jesus speaks of the Angels assigned to little children, and suggests that they have favored access to God. In Acts 12:15, a servant girl mistakes Peter (who was supposed to be in prison) with his Angel. Together these passages may suggest that many or all of us have a “guardian Angel”.
In the Bible, Angels demonstrate the ability to break into prisons and blind guards to what is happening, to physically fight or block someone’s way, and to gather God’s people from around the planet. Hebrews describe humans as being “a little lower than the angels”, which I would take to mean that we have similar but inferior abilities for now.
A possible reference to Angels is found in Genesis 6:2:
the sons of God saw that the daughters of men were beautiful, and they married any of them they chose.Genesis 6:2
Whoever the “sons of God” were, it would seems that this move was displeasing to God as it is at this point that God dials back the length of human life from potentially 900+ years to 120. It may suggest enough similarity to interbreed.
This passage and Jesus’ words in Matthew 22 bring into question the sexual nature of Angels and our own future sexuality. Jesus said,
At the resurrection people will neither marry or be given in marriage; they will be like the Angels in Heaven.Matthew 22:30
Jesus never says what the Angels are like. We can infer that they do not marry, but this doesn’t say that they or humans after the resurrection will be asexual.
Like humans, Angels had their falling out with Satan. Revelation 12 suggest that around one third fell away, and now we equate them with demons. If fallen Angels are not demons, then we have no means to account for what a demon actually is. These Angels will share the fate of the damned.
God’s plan of salvation through Jesus’ death and resurrection definitely benefits humans, its also “redeems” creation so that there is a new Earth with a new nature on it. Does it impact Angels? Colossians 1 might refer to this:
For God was pleased to have all his fullness dwell in him (Jesus), and through him to reconcile to himself all things, whether things on Earth or things in Heaven, by making peace though his blood, shed on the cross.Colossians 1:19-20
What that means for Angels is not clear. “All things” and “in Heaven” suggest that it means something. Any guess as to what is merely speculative.
From what we are told, we can expect to interact with, worship along side of , and enjoy an eternal relationship with Angels. The possibilities of what that will be like are as intriguing as what it will be like to interact with other humans who no longer are under the influence of sinful nature.