I can't think of anything.
Lugging the equipment out of the basement? I do that on Friday evening before a Saturday morning brew session and that job is accompanied by beer and tunes. And it really doesn't take that long.
Cleanup? I hose things out and scrub the kettle and turn it upside down on the brew stand to air dry. Doesn't take long at all and it's easy with the garden hose. I suppose it is a bit of a chore in the winter when I can't use the hose, but not bad.
Putting stuff away is accompanied by beer and tunes, so that's not so bad.
I keg, and kegging is always accompanied by beer and tunes.
Making starters is a snap because I pressure can wort. The pressure canning is a snap too.
Really, I can't think of any part of the process that I "hate."