I noticed theses tiny white bugs Has I was wateri...

As you said they jump out of the soil when you water, this sounds like springtails to me Very common can be found in soil with high peat content———————————-It is not a cannabis pest but still you don’t want them stuck to your buds. The fast and safe way to get rid of them is hydrogen peroxide. With only a few weeks left I would just implement it when you flush. After you harvest get rid of the soil far away in your garden. Totally clean your whole grow room with H2O2 if you have houseplants you need to quarantine them as you could have infestation in them to. Never go from the garden to the grow room! All of that aside again the DO NOT harm your plants, that is if they are springtails. Now I’m excited to know? :)

Sounds like fungus gnats to me. They show up when the top layer of soil stays moist too long. You can try watering less to allow the top 2-3” of soil to dry before watering again. You can also use sticky paper traps. I’ve also used a mild mixture of hydrogen peroxide and water (5:1) to kill fungus gnats - this works great, but also strips the soil of nutrients, microbes, etc. I’d only recommend that as a last resort.