Coin storage?

I recently got these new silver coins and they already came in these ziplock bags. I ask if I may keep them in these for now or will they react with material of these bags and damage my coins overtime? And if yes, on what material may I keep them on for now?

They look like LDPE bags (but they have no markings) they are generally safe but if you are not sure take them out and use storage were you know the material.

Can I perhaps use paper towel for temporary storage, warping them individually? I really don't have much options…

You should get some paper holders or capsules.