So I tried the vinegar and soap method of killing dandelions. Did it work? Kinda. You had to be real careful how you applied the mixture. Although many of the dandelions did die, some of the grass surrounding did as well.
However, the grass is coming back already. The dandelions? Not so much. Although I suspect a large part of why is because their season has passed. Now the bunnies who visit my yard will have to feast on clover and wild strawberries...which for some reason don't seem to bother me as much!
If the dandelions do return en force next year, I guess I will have to try making this.