Anyone can tell me on how do I keep a rug flat on thickly padded carpet?

I have two different rugs, two different sizes. I had both in my previous residence one is room size, the other is smaller. Since moving into my new home with thicker carpet I can’t keep them from “bubbling” throught the day. I have looked into carpet tapes, but those are for rugs that are on hardwood floors. Help?! I am tired of me and my two year old tripping all day!
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Rugs|Rug