The glass in your French press is likely borosilicate glass. It's super fragile.

I use a Rumble Jar which is a pretty darn easy way to make cold brew coffee in a mason jar. The coffee tastes fantastic, and it's surprisingly easy to clean up after each brew.

Oh and mason jars are obviously durable (made from soda lime glass). And if you break it, you probably have another at home that you can replace it with.