How can I update Kittens game without losing my village?

I've been playing Kittens game for a while now, and I noticed that I am a few version behind the times (I'm on 0.9.6.9 according to the top right corner).

How can I update to the latest version without losing my progress? I pressed "Save" but that didn't have any visible effect.

That's all you need to do. Click the save button, then refresh the page. As long as you have javascript enabled (I didn't, and gave myself a heart attack when I refreshed), it'll find your save game, and you're off to the races.

The safest way to protect your kittens is to export your save file using the Options tab in the top right. Save first, then export that save into a text file (or just copy it to your clipboard), then refresh. If something should happen and your save not load correctly after the refresh, you can import your text-save instead of starting over. I export daily, just in case.