Solar PV System for Workshop

Hi, I'm new here. I've been fascinated with solar for decades and even done a couple of tiny projects with them, and now the opportunity has come up to use it for a bigger project. I thought I knew what I needed to do, but the more research I've done, the more confused I seem to be making myself. So I thought I'd find a forum and ask folks who've done this sort of thing before for their expertise.

Here's the project:

We're going to get a shed to use as both outdoor storage and as a workshop. Getting electricity to it from the house to run our Shopsmith clone (a Totalshop) as well as lights (LED) and a window air conditioner would be dicey, so we've decided to go solar with it.

I've estimated the appliances to be about 600 watts: 500-550 for the air conditioner, 15 for the Totalshop, and 10 for the lighting (LED lights), and some left over for "breathing room". So now I have to size things, and the online calculators are giving different numbers. Basically I think I need a 125W polycrystalline panel (two 70W would also do), a charge controller - how big? for X batteries (I'd prefer to go 12V; all in series for better current?) and then an inverter. I think a 700-1kW inverter would do. But again, this is just what I have gleaned in my research and I'm not convinced that I have things correct at all.

Oh: we'd be using the workshop about an hour a day, maybe two, on average; maybe three out of seven days. This is only an average, though; some days we'll use it more, some days less. And, if the grid for the house went down, I'll want to be able to run a cord to my deep freeze.