To the OP: Congrats on your new (to you) ride! It's funny because the CR-V and the Integra are very similar and I bought mine from a little old lady as well! In a sense, the CR-V is just a SUV version of the Integra. From what I understand, they share a similar chassis (if not the same) and use the same engine family (B-series), under the hood they look almost exactly the same as well in terms of the layout and parts used. The only real difference that I've been able to see is the air filter is a little different.
I've had excellent luck with Amsoil ATF in my Honda automatic transmission, which I switched it to when I purchased the car. In the crankcase I have used Valvoline, Amsoil and Havoline (all 5W-30) and plan to use Pennzoil Platinum 5W-30 next. I personally prefer and recommend the A01 Honda oil filters. In my opinion they are the best built filter for the price, and use Filtech media and are made by Filtech (a subsidiary of the JDM parts supplier Toyo-Roki). I've used one on my Integra for 4,300 miles using Havoline 5W-30 and the insolubles came back nice and low, oil pressure on startup was perfect every time. The only thing is, they've been discontinued and replaced by the inferior Honeywell A02, essentially a Fram built to Honda specifications. The Japanese HAMP filters are essentially the same as the A01 filters, they just cost a lot more. Off the shelf, I really like Purolator & Wix/Napa Gold oil filters and for air filters I am VERY happy with the Wix/Napa Gold I'm using now, always keeps the silicon very low, even driving through extremely dusty construction zones! Good luck!