Sorry user, I'm on the side of 'wormholes do not exist'. At least, in the sense that we would hope.
Science fiction has used wormholes to get around the current problems of traversing large distances. If we don't do faster-than-light travel, then we have to do some other kind of travel, and wormholes make an easy pseudo-scientific solution. There are significant problems though.
First, the only known situation in the galaxy that can bend space-time enough is a black hole, and as far as we know they tend to annihilate everything that comes close to the event horizon. Due to the extreme gravitational forces encountered, anything that we normally encounter in human life would be shredded apart at the sub-atomic level. Wormholes would likely have this same problem, at least somewhere near the openings, thus they would be extremely dangerous to approach.
Secondly, wormholes assume that space-time can be bent over great distances; from what we know so far, this isn't the case. The bending happens only due to gravitational forces, and these will always be spherical in terms of influence (though with rotation the matter circling the singularity will tend to form a disc). Wormholes are very commonly described as space folded over itself, but precisely this doesn't happen; there is no folding, just bending.
All that being said, if one could find a stable wormhole and get inside, then the trip would be near instantaneous, as if passing through a very slim door. The same dangers would exist on the other side, of course.
In terms of exploration...that's a totally different concern/problem. Considering that we haven't yet mapped (with our own eyes) the ocean floor of earth, it might be asking a lot to chart the galaxy the way the Federation does in Star Trek.
I'd put wormholes purely in 'theoretical' and unreal, as the conditions required for their stability are outside the boundaries of known science. So, they could exist for real..
Attached: Right on target....webm (720x404, 1.95M)