How to repair chipped glass
I agree that replacing with tempered glass is your best option. But if you want cheap, there are other options. 

I don't know about regular super glue or Krazy glue. It would probably work fine. Loctite makes a super glue specifically for glass. 

I used to work for an art glass/leaded glass company 20 years ago and we used a glue that was cured by UV light. It was nice because you could easily wipe up any excess before you set the glue. You can use a cheap UV light ($15 or less) to cure the glue. It is slower, but you can also use sunlight. It cures absolutely clear and is permanent. The bond is super strong. We used this glue to attach glass "jewels" and flat beveled glass to glass windows that we made.  Once it was cured, there was no removing it. You couldn't break the bevel off with a hammer.  I don't remember the name of it, but there are cheap UV cured glues available online and probably Lowe's/Home Depot.