She's so damn cute. I'm excited for you! (And a bit jealous ahaha)
I went through this with my dog too. So many things to train, no idea what order. I also adopted him at 8 months! Wild times... :D
I'd say give her a few days to settle in first, then you could start focusing on basic things like eye contact, touch, etc. If she's doing well and doesn't seemed overwhelmed by too much attention, then you can start working on everything, in little bits.
For instance, I still train my dog with my cats in the evenings, or just whenever I'm sitting in my chair and he's lying on his blanket next to me. Whenever one of our cats walks by, he gets treats. Whenever he looks at the cat then to me, he gets treats. I just try to capture moments.
Still working on him not leash pulling - I focus on that in the afternoons.
Basically, you can start working on multiple things. Just keep things short - like a few mins per day - so as not to overwhelm her.
You'll probably find multiple issues come up, and then you'll be adding to your list. At least that's the case with my dog. Like right now, I'm doing all of the stuff, then also need to muzzle train him, and so on.
If the "various things in small doses" doesn't work for you, then it makes sense to focus on the cats first, as you want home life to be peaceful for all of you.
Then walking to heel / not pulling - as you'll have her on lead while you work on recall.
Then car. Meanwhile, assuming you have a garden, you could make do for a couple of weeks if you needed to.
Then recall. The stronger her bond with you, the better the boost to her recall anyway.