Ah, I'd probably go for both... but then again I'm the silly one with double digits accounts open at the moment
I did the PNC one but closed it since I'm definitely within their market so the savings rate wasn't great. If you think you can keep it free with little effort then it's probably not a bad move. How's the current rate stack up now? I know when it launched it was beating out Ally and Synchrony and a couple others.
BoA is hard to tell if this is an opening to public offers or a unicorn. Not sure if they had an offer greater than $100 out to the public ever, IIRC, and since it's got churnable possibilities, if you can swing 4k with the 5k for PNC I'd probably capture the unicorn. If it turns out they keep public offers, great, churn it later... if not, then you didn't miss out and have a churning story to tell when people reminisce
BoA gives you 90 days to meet the 4k in DDs, so you could stagger it from PNC (which is 60) if need be. But as the DoC verdict mentioned, I wouldn't wait until the last minute to decide, they might pull it early if it's too popular. If you have to decide between the two right now, PNC has been semi-regular for the last year or so, almost where it feels like a standing offer, so you could probably put it off if you have a good spot for your cash right now.