Good on you, jords! You are doing such a great job with your little one.
The first weeks are so very tough.
Firstly, you are the mummy and you know best. If you are stressed about trying out a dummy, just don't do it. It is totally up to you.
A sling is a wonderful idea, as this will mean you can move around and do what you need to do and bubs will still get to be close to you.
You may well find that after a couple of weeks she is more settled and happier to sleep on her own. I remember a midwife telling me that in the first little while babies can be a bit 'angry with the world' and they need extra comfort and can be extra unsettled. As she works out how to deal with this new place she may well settle down without you necessarily doing anything about it.
I suppose I just want to reassure you that you are doing great, she is your bub and you and she will get to know each other better over the next few weeks, and you should do only what you feel comfortable doing.
Take care, matey.