It does get easier - in some ways! Like the previous poster said, don't push yourself too much, but I can understand the desire to have organization & especially the desire to have a shower!
At that age, I wore my son a lot - in the sling, in the backpack (got one for about $5 at a yard sale). Also he really liked the "Johnny Jumper" (hangs in the doorway). He would happily jump and bounce in that for about 5-15 minutes at a time while I got some stuff done.
As for showering, I found it nearly impossible to find time for, so I would just make DS' bath time my bath time. Not anywhere as relaxing as a solo bath or shower, but you can at least get clean & wash your hair!
As for cooking, if you can try to make meals in double quantities (or even triple) and them freeze them for other nights so you don't have to cook a meal every night. I also still love to use the crock pot - throw something in there in the morning (or even better - have DH do it) and it's done at dinner time.
Hope that helps,
SAHM to a spectacular little boy, born 5/2003
AND SO excited to be