I remember a story a long time ago in a magazine where someone fell through the ice. Getting back up on to solid ice is the issue, and I'm glad you got it done alone, but with heavy boots and clothes sometimes that's not possible.
What I saw for an ice fishing tip was the guys had screwdrivers cut off short like an inch or so with points on them and hung around their neck so they could use them to grab the ice and pull themselves up.
You got lucky.