Sounds like it might be the distributor, but I would check the plug wires, cap, and rotor too before getting a new part. Maybe a loose plug wire connection? The igniter (ignition module) and ignition coil are other possible causes. I think these might be integrated w/ distributor in your car--don't know if they are replaceable separately.
I have a 92 Accord, and the new Honda distributor was $160, and I had to buy a coil and igniter separately. (Coil was bad and igniter soaked with oil from leak inside distrib.) The coil and igniter are probably about the only thing replaceable inside the distrib.
Any of these are easy DIY's if you've got screwdrivers, sockets, and extensions. Just make sure you get your distributor shaft mated correctly with the camshaft. If you get it 180 backwards, it won't start, and you'll get to take it out and put it back in again! If the fit is tight, just gradually press it in by tightening the distrib. bolts. A hammer is not the proper tool.
I wouldn't drive it further than walking distance until it's fixed.
Andy