Firstly, sorry to hear about this, it must have been stressful for you (as it would have been for any of us).
I agree, maybe a prop was not secured properly (easily done, you are not the first!), especially as the failure seemed to be quite violent & immediate (another theory is bird strike, again not as easy to see as some people may think). But I have no evidence, so pure speculation at this stage. I'm a little OCD about preflight checking the props etc.
It will be interesting to see how likely a hardware failure would be, but obviously, we can't discount this.
I'd be very grateful if you keep us informed. Thank you.