Supermarket food deliveries will be helpful, I found walking around a supermarket was just too far, but mine was a EMCS with an extra big E.
I'd cook some meals to freeze and get the house as clean as you can. If your parents or friends can come and help with some housework that would be great. You could reward housework with newborn baby cuddles 
Don't be conned into people offering to "help with the baby", i.e. sit and cuddle your newborn while you run around serving them tea.
For nighttime feeds, a co-sleeper cot (mine was a babybay) was really helpful as dd was at the same level as me for picking up in the night. Having to reach down and lift would have been more difficult. Since your dp isn't there, you could even just put a Moses basket on the bed next to you, although I would perhaps push the edge of the bed against the wall so that the basket can't fall off.
When lifting baby, when possible, bring her/him to your body and then lift, instead of trying to lift at arms length.
By the time your lo is a month old, you'll have a thin sliver of a scar and you'll have forgotten all about it. Time flies in the early days!