An Arbor press is handy for small things like this job...decent price on it too..it's a tool most consider a luxury if you have no use for it very often though..having the right tool for the job always helps!..
By the way,a pin punch has a straight shank and a flat end,some also have the end ground to a smaller straight diameter to let it fit inside the hollow pin's center--this avoids mushrooming the end of the pin--using a center punch is no good,the coned point will only tend to spread the pin open in the hole and make it even tougher to get out..
I mentioned a 20 ton Harbor Freight press a friend bought in another thread--yesterday he told me he had a "close call" with it..
He was pressing out some rear wheel bearings on an import (Subaru ?) and he said they were "really in there",in the hub they press into--it was rather rusty,and he was sure he had taken the retaining ring out of the bearing housing..
...he had pumped the jack up as hard as he dared too,and the bearings refused to budge--knowing something was "wrong",like maybe the hub not being perfectly straight and the assembly "cockeyed",he hesitated to give the jack any more pressure..
Then his phone rang,it was in on his work bench in the next room about 10 feet away...as he walked away to answer it,he heard the press make some creaking noises...and he rushed to get away from it...good thing he did !..
The press made a huge "BANG" and leaped up about a foot off the floor,and the two heavy iron press plates they supply to hold the part being pressed ,that weight probably 15 lbs,flew across the room like a pair of cannon balls,just missing him..the pin he was using to press against the bearings,an old king pin,went flying into the wall behind the press,and almost made it through the OSB board wall paneling!..
Turned out the carriage the jack presses against only had 2 rather flimsy "guides"on the channel iron the jack sits against and one snapped off --it looked like cast steel,not typical mild steel..
He was able to use his MIG to stitch it back together OK though,and his welds look much nicer than the originals were...still works fine..
Admittedly he said he probably had it "maxed out" and didn't feel it was inferior or defective,also the hub may not have been supported "dead on"..and he has already gotten a lot of use from it,and money and time saved having his own press..
The said he ended up having to use the cutting torch to get the bearings out,then the new ones went in nicely...
I had a 100 ton press at an auto parts store machine shop we used often--one day we were pressing king pins out of an old F350 crew cab truck's straight axle,and we had 85 tons showing on the gauge!--nothing we had ever tried pressing out took more than 30-35 tons,tops...when the king pin finally broke free,it was much the same as my friends experience--the press jumped right off the floor,it weighed 400+ lbs,and the pin we used to push the king pin out flew out like a missle and dissapeared inside the cinder block wall 3 feet away,it punched right through it like a bullet!...2 feet from our heads !..

..