AmazonAmazon.com: Gym Flooring Set - Interlocking EVA Soft Foam Floor Mat, 18 Pieces Puzzle Rubber Tiles Protective Ground Surface Protection, Play Workout Exercise Mats Underlay Matting Sports Pool Home Fitness Garage : Sports & Outdoors
https://www.amazon.com/dp/B019DZDM3O/ref=nosim?tag=cougarboard07-20[https://www.amazon.com/Interlocking-Soft-Foam-Floor-Mats/dp/B019DZDM3O/ref=asc_df_B019DZDM3O/?tag=hyprod-20&linkCode=df0&hvadid=692875362841&hvpos=&hvnetw=g&hvrand=2941014570570272596&hvpone=&hvptwo=&hvqmt=&hvdev=m&hvdvcmdl=&hvlocint=&hvlocphy=9016722&hvtargid=pla-2281435179738&psc=1&mcid=945fa732b4973c5b82fd587a243e0c8c&hvocijid=2941014570570272596-B019DZDM3O-&hvexpln=73&gad_source=1]
I don't know if it will damage the carpet or not, but it will give you the gym feel without much work.