The shutter can be released either by the button or by pushing the cocking lever to the far side of the camera. The cocking lever is part of a ring that goes around the shutter which has a tab that engages the shutter release as well as the cocking ring inside the shutter. When the self timer kicks off, it pushes the external cocking lever ring against the shutter release.
The shutter is easily removed by undoing a collar inside the film chamber which also holds on a funnel-shaped baffle. As usual, there are several shims between the shutter and the front plate
Innards of the seikosha MXV shutter (not sure if this is _really_ an mxv since the self timer is external?)
The cocking ring can be removed after unhooking the main spring from it's post which is at about 11:00 in this photo
If you want to split the shutter for cleaning, as I did, I would gently lift out the shutter release but leave everything else in place. The main delay and flash sync delay escapements are not removable as separate units, if you unscrew them you'll merely remove their top plates and you'll have a pile of little gears to carefully track and reassemble. I also removed the y-shaped flash sync arm visible at 12:00 right under the 1/500 spring, but I don't think that was actually necessary to do.
Also visible in this photo at 7:00 is the aperture arm. It has a small tab on the inside which engages the notches on the shutter speed ring for the EV coupling. I find that to be annoying so I filed off the tab to decouple the aperture and shutter speed. Works like a charm.
there are 3 or 4 obvious screws on the back of the shutter case which, once removed, allow separating the shutter from the diaphragm. The blades are all identical and go on in no special order (no bent tip on the front blade or anything) and have no spacers. I soaked the blades in naptha, then ultrasonic cleaned the blades with dish soap then an alcohol rinse. Wear gloves when reassembling to avoid finger oils on the blades. The shutter is pretty easy to reassemble, there's a small lever near the shutter release that has to be finessed into position but other than that nothing special.
The faceplate with the shutter removed. I think there are screws (maybe?) beneath the cocking ring that separate the faceplate from the helicoid which would permit you to access that for cleaning if you were so inclined but I didn't go that far
This photo is showing the stack order of the rings which indicate shutter speed and aperture. I took these off to see if replacing the yellowed plastic window seemed viable but it's A) riveted on and B) has the aperture numbers printed on it so for now I decided to just leave it. If I were you I'd scribe markings of where these engage the control rings in the cover, I didn't, reinstallation was fiddly but not terrible.