Get some family guidance support for yourselves. I can't stress that enough. We're just coming out of the other side of something similar & it's been a very rough ride. I am your DH in our case & it has all but broken me this last few years, it almost broke us up after well over 20 years & he is her DF.
It's definitely ASD in our case, but missed by almost all or dismissed as "gifted & anxious with SPD" right up until year 9. Hormones are also kicking in & ramping up at 8, so add the teen brain rewiring & them growing towards becoming more independent to that , it's a hot mess. Plus you have the big change of the move unsettling her.
I was the closest to her like your DD is with your DH & it was me DD went for & me she was lying about to DH.
Counselling has taught us that she was overly close to me, bullying & significant health problems meant we had no choice & she missed a lot of school etc & because of her ASD, growing up & breaking away is magnified because of their black & white thinking.
Plus they feel the changes so much more with ASD, their struggles magnify as they mask harder to fit in with more difficult older social situations & they are internally distraught & close to melt down, but bottle it up & let it all out at the parent they feel safest with & trust the most. DH having my back & trusting me a 100% rather than being so torn & upset himself as he believed me, but couldn't believe she was being so manipulative either.
Ours is 19 now, she was late to puberty, so thankfully started a bit later than 8, but many do become hormonal by then. We are just coming out of the other side of it, but it's taken us adjusting how we communicate & allow for her black & white thinking.
Communication is key & it's not straight forward, it requires stopping & thinking & listening harder
For example...
I ask her not to drink too much of my bottle water as I can't buy more atm.
She tells me she isn't drinking it & gets defensive. I've watched her drink it over & over & she's standing there with a bottle of my water in her hand.
Normal reaction... wtf is she standing there bare faced lying to me over something so ridiculous... now my back is up as I'm now expecting her to kick off & I'm fed up that this is how it is ever time I challenge anything with her. She's now bristling & primed for an argument too & is very angry I think she is lying.
But I stop & think... what's too literal about my question & her answer... bingo!
I suddenly realised that she DOESNT literally drink my water at all, as she is mixing it with her squash. So she isn't lying, just answering very literally as is the way with ASD & so she had every right to be upset to be accused of lying
Taking this into account when talking with her & showing 100% united front with DH with support as we needed it is bringing us out the other side & she's about 95% human again
Interestingly we have talked about the times she's kicked off & nasty things she has said, even coldly & seemingly not in obvious rage or meltdown & she owns up to sort of blanking out & doesn't really know what she's said or done in these cold calmer meltdowns.
Hope that makes some sense