Dd is 10 weeks old. I Packed a bag with a section for baby and a section for me.
I also had two more (small) bags of clothes at home packed for both of us for dh to bring in. It meant we didn't lug a big heavy bag and also less rifling through the bag to find stuff when I needed, and I simply sent home bags of washing with dh and swapped for clean bag of clothes.
Flip flops were great (except if your feet swell so much you can't use them :()
Practical essential stuff would be
1 Maternity pads - about 6 per 24 hours would be a good approximation.
2 Multi Mam nipple pads were absolute life savers. Much much better than lansinoh - healed up nipples in between feeds so I had no issues (having previously on my other two do had days of cracked nipples - this stuff is MIRACULOUS, and it s not sticky and doesn't stain everything like lansinoh does). They re expensive but you can cut one in two and use in each nipple and change regularly.
3 Multi gyn - same as multi Mam but for your neither regions- again a revelation and amazing for healing. I am getting both of these as a gift for every new mum I know from now on 
Lip balm and a light non sticky body moisturiser or oil is lovely for after showering as I found my skin dry and the air quite drying).
Several changes of PJ s or lounge trousers and tops ) I had lots of seperates- long vest type tops, and (dark) PJ bottoms and light cardi s - I didn't get time for showering but sometimes a freshen up and new PJ s did the trick. Am still using them all at home too now. What with locacia and breastfeeding, plus your body starts to loose all the extra fluid...... You get the picture! On that note it s worth making sure you have plenty of bedding - sheets/ duvet covers ) for your bed at home too, you ll find you need to change them a lot in the first few weeks, and there s nothing nicer or more conducive to helping you snatch some sleep, than fresh bedding.
I also had wipes, clean t shirt, sweater, deodorant and toothbrush for dh - he was in the hospital overnight with me and was so grateful for them!
Another life saver was cereal snack bars as Others say - you re staving after the effort of labour. Also dh went to m and s and bought lots of their fresh fruit packs and smoothies (and Percy pigs ) and food for me on the first day.
Comfy socks with grips on the bottom of them
Phone and charger and external battery (extra battery you plug into phone rather than charging it - no idea what it s called)
Baby hat (as well as Nappies, vests and several baby suits and light cardigans for baby)
Vaseline or pharmacy grade olive oil for baby's bottom and areas of dry skin