My DS was a very clingy baby which was a huge shock after DD..

I wasn't a carrier fan, but had to with him because I would have had my hands free.. I used the close carrier..

Would a baby swing work, so she still has movement to help her sleep? I also found DS slept better in the bassinette in the loungeroom where he could hear me going about my day..

And you are doing a great job.. The first few weeks with a newborn and a toddler and sleep deprivation are hard! I think we try to give our older child(ren) the same amount of attention they received before the baby came along, and it is just impossible, your DD1 will adapt and won't remember this phase as a bad time..