When I admire my Mosin's bolt, I think of 1890s, HG Wells and Jules Verne, and modern steampunk sci-fi.
I have always been advised to use the bolt guide rod as a firing pin wrench.
To synthesize the NRA guide to the Mosin, a manual from one of the importers, and a reprint of a US military manual on the Mosin:
Disassemble the bolt.
o grip the bolt handle in one hand and the cocking piece in the other
o pull the cocking piece back and rotate it counterclockwise easing it forward
o grab the bolt head and pull it forward until it stops
o rotate the bolt head counterclockwise a bit more than than a quarter turn
o pull the bolt head off the bolt body
o pull the bolt guide bar off the bolt body
o use the slot in the rear of the bolt guide bar as a wrench to unscrew the firing pin from the cocking piece (the firing pin is under spring pressure, so take care that it does not spring out of control)
o removal of the firing pin allows the spring to be removed
o the cocking piece should drop free.
Reassemble in reverse order.
o Take care not to damage threads on the firing pin end and inside the cocking piece while depressing the spring and screwing the firing pin into the cocking piece.
o Be sure that the index marks on the rear end of the firing pin and on the cocking piece align after reassembly.