i'm probably not meant to reply as am definitely not the 'stylish well groomed mum' you appealed to in your OP!
I have a DD (16 months) and two teenager SCs who live with us full-time.
I have never missed my daily shower, not once, since DD was born. I could not function without it. I listen to the news, shave legs and oxters, wash face and brush teeth in there.
Agree with posters above who said get a good haircut, because everything else is bearable if your hair feels and looks nice. I can't agree with above post though - I have long curly hair and I wear it down, it is my least frumpy feature (if I follow own advice and get regular trims); I never want to resign myself to putting it up or keeping it short. I don't ever straighten or even blow-dry, if i put a bit of curl balm in it while wet and let it dry naturally it looks fine and is generally ready to leave the house by the time I can get out the door anyway. Added bonus to not heat-styling, it stays healthy!
I never had an elaborate beauty routine anyway - don't do my nails, no fake eyelashes, etc...so I guess I just keep things simple anyway. I have good skin, I wash everyday with Noxema cream that I stock up on when I visit family in the States or Canada, and have been using it since I was 12! I don't wear foundation often, but a good pressed powder is a wonderful thing. Definitely sunscreen...I use neutrogena multi-defense which has a 25 SPF. Mascara and eyeliner, which all morning I carry around in a pocket along with my tweezers, and find myself applying in various mirrors, bit by bit...some day I will probably leave the house with only one eye made up, but so far, so good.
But clothes? Don't ask me. I couldn't figure 'em out before I had kids, and I haven't gotten any better. Online shopping? No way. I have a hard enough time when I can actually try things on and feel fabrics...I'd be a disaster at online shopping.