your planning on running a straight pipe on your mower? sure it will let it breath better, but wont your neighbors kinda dislike that? lol
if that engine has a pipe thread in the exhaust (most likley 1/2") try getting a muffler with a 3/4" thread on it, and use a pipe adaptor to put it on the mower.
it will allow the exhaust to escape easier, but still keeps the neighbors from getting mad lol.
other ways to get more power/better performance would be to of course, keep your air filter clean. also clean the carbon out of the combustion chamber every 100 hours as Briggs rec commends.
change/re-gap the spark plug. disassemble and clean the carb and set the mixture needles and idle screw properly. when doing that, make sure the rubber gasket/diaphragm between the carb and fuel tank is nice and soft, if its hard, you need a new one.
reset the gap between the flywheel and coil armature. clean and adjust breaker points, (but i highly doubt this engine uses breaker points)
and other basic maintenance like keeping the cooling fins free of grass and other debris, and always changing the oil when needed. always use fresh, clean gas.
arrow #1 is pointing at the coil.
arrow #2 is pointing at the armature.
and #3 is the flywheel nut lol
to adjust the gap of the armature, rotate the flywheel so the magnets are away from the armature. loosen the bolts holding the armature/coil assembly down enough for it to slide around a little. then move the armature/coil as far away from the flywheel as it will go, lightly tighten one of the mounting bolts. rotate the flywheel so the magnets are right under the armature, get your feeler gauge(s) of the specified thickness (get me an engine model number, and i'll tell you what you need) and put it between the armature and magnets, then loosen the mounting bolt, the magnets will pull the armature/coil assembly up to the feeler gauge, make sure the feeler gauge is between all the legs of the armature and the flywheel, then tighten the bolts down, carefully remove the feeler gauge. and yer done.
you should get a really nice hot spark after that.
(its pretty simple, when you actually do it lol)
cleaning/adjusting the carb (try to adjust first, if that doesnt work, then clean), changing the spark plug, and setting the armature gap should fix the rough idle prob.
thats usually all it takes, but the other stuff wont hurt lol
look up your owners manual on the Briggs site, that will usually tell you how to adjust the carb