It came out on Epic (a Marvel subsiduary) back in 1990 and I'm not sure how I would've heard about it. I imagine it was the artwork that persuaded me into buying them, though possibly the storyline - nuclear war was my most morbid fear throughout childhood and I find myself drawn to the topic (my brother's the same about sharks).
Post nuclear apocalypse scenarios aren't very fashionable at the moment but there was meant to be a trend emerging a while back for bleak sci fi (Moon being the only example I can think of right now).
The artwork, (by long time favourite and regular 2000AD contributor Mike McMahon) is, as befits such a storyline, brutal. Whatever humour can be mustered from the situation comes from the dialogue between Pilgrim and his three robot helpers (Able, Baker and Charlie - a nod to Huey, Dewey and Louis in Silent Running?).
Here are a few random pages that I particularly like. Copies can be picked up for buttons on ebay.
And finally, I'd have this as the soundtrack.
Laurie Anderson O Superman
It always seemed to me that this song was about the start of World War Three. The lyrics "Here come the planes" and then "Smoking or non-smoking" and "Neither snow nor rain nor gloom of night shall stay theses couriers from the swift completion of their appointed rounds" - highly suggestive to me of the bomber in Dr Strangelove, unstoppable once the process has been set in motion.
And the lyric asking "Who is this?" and the voice replying, "This is the hand, the hand that takes" a reference maybe to the bit in the book of Daniel when the hand appears and writes "Mene, mene, shekel upharsin" - I find it a pleasingly spooky idea that god might reveal himself, even if only to one person, at the climax of humanity's hubris.