Hi K.,
I was in the same place as you only a month ago. My daughter is now 3 months, and for us it started getting a little better at about 8-10 weeks. The easing-up happens in little increments, but watch for them. Before she was 2 months old, I was intensely overwhelmed... I wanted to throw myself and baby out the window, and I was just a few steps from actually, literally believing that... and I'm normally a very happy, well-balanced individual! :) Someone else said that mothers weren't mean to caretake alone, and I agree.
Find anyone who could help, even for 2-3 hours, or just someone to come over and talk. We just moved here and my realtor had become a friend, and we became much better friends after we spent a couple afternoons just hanging around together while baby ate, slept, cried. Or chat online for 10 minutes like this posting... it truly helps to know you're not alone.
You may have already learned this, but take the baby out for errands only when you know it'll be easy... for us, it's when she is recently changed, recently eaten and ready for a good nap. I had to surrender all my other daily tasks for awhile and just watch her cues, learn her patterns.
Now I know it's easy to take her out in the AM, hard in the PM, she doesn't mind a brisk wind, she hates the freezer aisle of the grocery unless she's under a blanket, she loves the stroller, she hates bright light, etc etc. And then these things will change over time, but at least I'm training myself to pay attention.
I believe a baby will want to care for her/himself as soon as they are able... until then it's our job. And a full-time job it is! Best of luck to you, and please share what happens when you can. :)