I just had this done at a shop yesterday. It's not like a normal quartz where you take the cover off pop out the battery and put in a new one. If you are comfortable taking a mechanical watch apart and putting it back together it should be no problem. I'm not so I paid someone to do it.
I watched so can give you the basic steps first they opened the watch, took off the dust cover, and took off the rotor assembly and bridge (at least 3 screws) then they pulled the gear that connected the movement and the auto winding module, then took of a plate that looked like it contained electronics and held the capacitor on (another 3 or so screws), then swapped the battery, put the plate back on, put the gear back in, oiled the pivots/jewels on the rotor assembly and put that back on, dust cover back on screwed the case back down and then pressure tested it.
edit: I think M4TT has done it himself so you may ask him.