Plus, you can always stick babby in a bed, crib, car seat, babby carrier, drawer, box, kennel, what have you.
My own attitude was no one comes near my babies without evidence of extensive hand washing and a certificate of a recent DTaP shot. Seriously. Peds tell parents to avoid bringing the baby out anymore than necessary in the first two months.
I could swear that there’s an element of sadism involved with some women who insist on people holding babies. I’m not unwilling to hold a baby, but I don’t have a strong drive to do so - nevertheless, there are some women at my office who will insist that anyone nearby hold any given baby that’s being shown around, and it’s often not the baby’s mother doing the pushing.
This kind of behavior does kind of have the air of a biological imperative.
I hate it, and it must show because I’m not really asked anymore.
If you go so far as to [del]dunk[/del] baptize the baby in a river while holding it upside down by the ankle, be sure to alternate which foot you hold so both ankles get dunked!
I don’t hold babies I am not related to until they able to hold their heads up by themselves. Related kiddos, you kind of can’t not hold them without all kinds of butthurt* and drama.
*snerk
I believe that especially holds true when listening to Styx while doing it…or something like that.
Yeah, I think it’s a “you touched it last!” ploy so you get stuck with the diaper change. 
then the thing to say is, “can you do me a favor and hold the baby?”
not
YOU WANT TO HOLD THE BABY HOLD IT NOW YOU WANT TO
Really strange phenomenon.
I can’t have children, so when this happens to me it just makes me sad. I might just run off with the little booger! (not really)
I just say, " I think I’m getting a cold and wouldn’t want to make him/her sick". Works every time!
When they hand you the baby, drop it. I guarantee you they will never ask again. 
I hate this situation, because I have some friends who really want to hold the baby, and others who really don’t want to (I was always in the latter group till I had my own.) I am totally fine with the holders holding, but it’s awkward to ask “do you want to hold the baby” because I don’t want to put the non-holders on the spot.
Sorry, I’m allergic.
That’s why they need to be wearing coveralls.
What about the related toddler assault by women? A random woman will decide your toddler or baby is so cute they must attack them and grab them?
Then you don’t know how to react, react wrong and you’re the asshole.
I’ll take any baby handed to me, and hold it till someone comes to collect it!
But, yeah, I don’t understand people urging someone clearly disinclined, to hold their baby. I wanna say, “Leave them alone! Can’t you see they don’t want to!”
Just say your hands are dirty, or you’re getting a cold. Usually solves the problem.
“I’d be violating my probation if I so much as touched the baby. Sorry!”
No shit. I used to visit a couple who spent most of their effort farming their baby out to other people to pay attention to. They had an unemployed friend move in and become primary nanny, but the three of them always put the baby into the arms of anyone who came over, and then did stuff, played games, posted on their computers, or what-have-you, and never asked for the baby back – they were content to squeeze as much free babyhandling out of the situation as they could.
One time when I came over in winter, I was standing on the front step kicking snow off my boots, still wearing my zipped-up parka, when the wife opened the door and plopped the baby into my arms over my protests. So then I’m standing in the atrium, sweating in a parka, little puddles forming around the boots I’m still wearing, holding this baby and trying to get anyone’s attention. Good grief.
Every once in a while my wife wants me to hold someone else’s baby. I’m generally OK with not holding them. I remember what holding babies is like, so I don’t have to hold any more, really. Every once in a while, my wife also blissfully mentions that she’d like to have another one. Hah, we’d have to have sex for that to happen.
These are the same pricks who try to drag you out onto the dance floor, no matter the strength of your refusals.
“What part of ‘NO’ don’t you understand?”
If someone asks me if I want to hold their baby I say, “I don’t like babies”. This usually has the bonus effect of making both the baby and its parent go away.
I used to like babies, then I had babies of my own. I no longer like babies.
My kids have heard me say this and they understand the implication. I admit that I didn’t like them as babies. I really don’t see why this upsets them - they’re the ones who were such assholes as babies that they put me off all babies, even the ones who’ve done nothing (yet) to deserve my hatred.