Hello, and welcome! Congratulations on your new little bundle
They are gorgeous but exhausting aren't they?
I think a baby carrier is a great idea. Soft stretchy wraps (Moby or similar) are lovely for newborns and very comfy to wear, and there are lots of other options for slightly bigger ones. I agree that it is too early to be in what many people would think of as a 'routine' (set things happening at set times) as you are still getting to know her and her needs/preferences, but you can definitely start establishing a rhythm to your day with a loose EAS (eat, activity, sleep) structure.
There are some useful links here:
Starting EASY - all you need to know and more!Starting EASY with a newborn-What to ExpectGetting started - how I survived the first 3 monthsBasically you start your day with a feed (E), have a very short activity - at this age typically changing a nappy or just staring at Mum's face for literally a few mins - then settle LO for a sleep. In time the aim will be for that to be in the crib with her settling independently, but that's something you can work towards slowly. One of the biggest challenges to good sleep with a newborn is not recognising their tired signs. Average awake time is only an hour at this stage and that includes everything from eyes open to eyes close, including feeding. This link has average A times for you:
Average A times- BOOKMARK ME! Getting LO to bed early enough can really help with settling - if they are awake too long they find it very difficult to settle into a restful sleep and this can set your day off on the wrong foot.
With her bath why not start introducing it earlier in the day for now, and then when she settles a little more in the evenings (tends to happen between 8-12 weeks) then you can gradually make it part of a bedtime routine?
Let me know if you have more questions after looking through the links x