Your method works, but to make it easier to keep the food below the brine, I put a tiny bowl (like you'd use for spices when prepping) inside the mason jar to push things down while still allowing it to bubble. Cover with a piece of cheesecloth and a rubber band.

Food below the brine is key, it will mold otherwise (as I've learned the hard way...).

you can also get glass fermentation weights that are made to fit inside the mouths of mason jars. we've had good luck with those.

other nice simple one is the silicon nipple looking covers. just screw it onto the mason jar and it self burps

Nipples are dandy, but one overlooked and very simple, effective method is a foodgrade plastic bag (sandwich, ziplock) placed over the mouth of the jar and held on with a rubber band. The flexibility of the rubber band allows gas to escape and if paranoid about the top layer, a leaf or more of cabbage (or something else) can help press the desirable layer beneath the brine. I've found that after 10-14 days the leaves become unappealing but do not affect anything beneath. Note: I ferment in Florida, with the AC rarely below 80f unless such occurs naturally. I have learned to increase the salt and decrease the time when the temp is above 77f.

I don't think he's describing the plastic being in the liquid, just acting as a form of lid that can release pressure.

Yes for sure, I need to upgrade my system at some point. Another one I've used is a ziplock bag partly filled with water. I don't love the idea of plastic in fermentation, but it has worked in a pinch.

I wish that worked for me, I've found there are folds in the bag that seem to be good starting points for mold/infection. Unfortunately I'm not certain what in my process caused this, after a few tests I decided it wasn't for me.

Look at e-jen containers, they're for kimchi normally but I use them for fermenting tons of things. They're great.

The Noma Guide to Fermentation mentions using a vacuum-sealed plastic bag. I find this much easier to manage. You will only need to "burp" the bag by cutting a corner off, releasing the air then re-sealing.

You can create a lazy pressure release by poking a needle hole in the bag and putting a bit of sellotape over it.

Can also use a zip lock with water in it, just squeeze air out of the corner.

how do you reseal after you cut off a corner?

The vacuum sealer uses heat to seal special bags. You re-seal the same way you seal it originally by placing the part of the bag with a corner cut off in the machine and turning it on. The bag will get a bit smaller each time, but even for long ferments I don't need to do it more than 1 or 2 times. I just make sure to size the bag originally to account for it.

Our vacuum sealer said to never use it on bags with liquids. I'm guessing that's just a stupid compliance rule in case something goes wrong and it sucks the water into the machine.

An impulse sealer bar, like you'd use to seal the vacuum bag originally.