I don't know about fitting in a coat closet (at least with coats still in there), but here's what I did: I bought a Rockler router table leg set (heavy duty steel legs and stretchers), and the matching heavy duty swivel casters (the kind that lock both the rolling and the swiveling movement). The frame is 18d x 24w", but you can get other stretchers that give you larger dimensions. I added a 22 x 28" top and two shelves underneath. When loaded up with boxes of bullets, brass, dies, and most of the other stuff I use to reload, it is solid as a rock. I mounted my co-ax press to the end of it (both to suit where the table gets stored in the laundry room, and to minimize tendency to tip), and has never even hinted at rocking/tipping in use. I put a bench vise on the opposite corner, and I temporarily mount other tools in the vise. The nice thing about a roll-around bench is that getting to stuff on the shelves from all sides is a lot easier, and I can use the bench top from every side, which maximizes the utility of the admittedly small surface.
It works very well for me, but the co-ax has a lot of leverage, which probably helps.
With the casters, the height is just right for standing or using a medium height barstool for sitting.
Andy