Just use bleach during the conversion. And then even after, you can just use bleach for your source of chlorine and not even use the pucks if you want. That is what many of us do, me included. Bleach works well and doesn't add a bunch of unwanted stuff to the water.

Keep an eye on your ph. Don't want it to drop below 7.0 or your water becomes acidic and can damage your pool.

During your conversion, the more often you test your water and add more bleach to get back to shock levels, the faster your conversion will go.