7 week old baby here and yes I've heard it all myself. I totally appreciate that people have different experiences but when it actually happens you will get to deal with it all and find your own way.
Sleep is an issue and it was a bit of a shocker at the beginning but she's sleeping longer and longer (4-5 Hour stretches) and has naps during the day so I nap or rest with her. Plus I find that my sleep is deeper and more restorative even if I sleep for a couple of hours in comparison to my 7-8 hours pre baby. She can be colicky but we are learning to cope with it too and I know some babies really suffer which may impact on time parents have to themselves.
I can no longer do shellac nails I used to have but I go for quick mani and pedi on a Saturday morning while DP minds the baby shop 
As she naps in the morning I always have a shower.
I'm usually out of the house by 12 for a walk and shopping or to meet friends with rudimentary make up on.
As my hairdresser has a home studio anyway, I asked him to come and see me at my home and he did it as a favour so I don't have hellish roots anymore.
I manage to do 20 mins of high intensity work out at home with a DVD every day as I was a keen exerciser before so it's important for me to get my fitness back. This is when baby naps or if she's chilling on the bouncer. I do stop for a quick feed if she needs me and get back to it.
To be fair I had a fairly easy birth - long lead up and then vaginal birth at home with healthy baby so was fortunate to have a relatively smooth recovery. It's different if the birth is difficult or you have to recover from major surgery after CS or episiotomy or serious tears or if baby is unwell.
And I had a 53 hour labour but that's from first twinge to me pushing on all fours on my bedroom floor . Yes it was long but it built up slowly so I was able to cope with more and more pain as it progressed so I managed it and got gas and air at the end. Hypnobirthing techniques were great so look into these and make your MW your closest ally.
It's all doable and workable if you have the support in place. Don't be shy to request it either and make sure your DP is also prepared to do his bit e.g. mine takes over as much as he can on weeknights and weekends. I used to clean my flat but now I got the cleaner. The added bonus is that cleaner loves my baby and agreed to look out for her couple of times when I nipped out to the shops while she napped. I also ask my mates to come and help me with stuff when I need help while DP is at work all day. One of the things I did realise recently is how l never used to like asking for help or felt that I should cope with everything myself. Balls to that - people actually love helping out. I know I do. So don't be shy to ask for support.