alasange, I recently found this video on youtube, which I think really helps with visualizing how the warping of space, rather than some active force between two objects, is what "binds" objects with gravity together, including planetary bodies.
https://www.youtube.com/watch?v=MTY1Kje0yLg
This should be contrasted with something like electromagnetism, in which force-carrying particles (called bosons) are actually "emitted." The interaction of those bosons is what causes the force between them, whereas gravity merely warps the space around a massive body with no exchange of particles between it and some other massive body.
Having said that, and also clarifying that I'm also no expert at all (just an interested layman, like yourself), I believe there is a competing theory explaining gravity. While gravity
can be explained exclusively as the warping of space-time, some (I believe) claim that gravity actually is a force just like electromagnitism, etc. If this is the case, objects with mass would "emit" something called a graviton, which is also a boson like in electromagnetism, and that's what creates the force between two objects with mass.
I don't know if this is still a viable theory in physics, or if it's even in opposition to theories about warping space-time (both theories might be fully reconcilable with each other, for all I know).
Interestingly, the effects of gravity from a massive body "travel" at the speed of light. For example, if the sun were to disappear right now, we would not experience it for several minutes -- the same length of time it takes light to arrive from the sun. Likewise, the gravitational wave emitted from the black hole at the centre of the galaxy that keeps us bound to it is not an ongoing and immediate thing, but rather the gravity that's influencing our solar system at this very moment is actually tens of thousands of years old.
To explain this from the force-carrying graviton perspective, it's a predictable conclusion that gravitons travel at the speed of light. For the warping of space-time theory, it could be explained by space-time warping at a certain speed. Much as in the video above, removing a marble from the flexible sheet does not return the space to its regular, flat shape immediately, but takes time. So too would adding or removing a massive body require time for space-time to return to normal (a change in space-time requires a change in both space and time -- that seems reasonable to me). This latter explanation is fully my own thought-process on the matter, not something I'm aware of being argued by scholars of the field.
Anyway, I hope that at least gives some food for thought, though I'll again stress that I'm no expert in this.