Wow that looks good! How big is your house, how central is your stove, how well insulated is the house? Are you using any other heat source? Those things will help people here determine how much you might need. This is going to be our first full winter in a poorly insulated, drafty antique 2000SF house so I'm guessing on 4-5 cords here but I could be radically wrong on that! We only burned half of last winter and it was mild, I think we may have done 2 cords, but we also supplemented with pressed brick and our wood was not so good, so lots of factors.
If your delivery wood was seasoned 1.5 years it should feel kind of light for its size when you lift it (assuming it's dry, not been rained on in the past few days), and if you knock a piece against a stone wall or two pieces against each other it should have a hollow ring to it. It's also usually not at all shiny, but more like a weathered color (most of mine is gray but I'd not be surprised if it can be browns/tans/yellows etc.). My moisture meter is all over the map so no help there, sorry.
We are going to keep a stack near the house, like yours,against a stone wall, this year. We have one of those LLBean log carriers that's 3 sided so the splits don't fall out and I LOVE this thing because you can carry a lot without dropping, even in the snow. We have a wood box in the house that holds maybe 1-2 days' worth as well.
Oh and BTW I am proof that "the wife" can and will get involved. Send her trolling on Craigslist and noticing abandoned wood by the side of the road, and you two will have a lot of fun with this!
