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I think that you may be talking about silverfish. This article will help with them:
http://www.ipm.ucdavis.edu/PMG/PESTNOTES/pn7475.html

This article will help you:
https://www.gardeningknowhow.com/special/children/fungus-gnats.htm

It is true that spider mites are difficult to see, as they are quite small. We have found the best way to treat spider mites is with neem oil. Not only is it effective, but it's also quite safe to both plants and animals (as well as humans). This article should help you: https://www.gardeningknowhow.com/plant-problems/pests/pesticides/neem-oil-uses.htm

If you can give use some more details about the pests, we should be able to tell you what kind they are and how to treat them.

It is possible it is from overwatering. At the very least, overwatering can stress a plant which makes them more susceptible to pests.

Try neem oil. It is a systemic pest killer, so it gets into the plant and kills any bugs that may live and feed on the plant. It is helpful to spray some on the leaves, but you don't need to get it everywhere like with other pesticides. It should also work if you put it in the water that you give the plant. It is safe for humans, animals and beneficial bugs but works very well to control numerous types of insect pests. As a bonus, it makes a great fungicide too.

Here is more information: https://www.gardeningknowhow.com/plant-problems/pests/pesticides/neem-oil-uses.htm

Here is an article that you may find helpful: https://www.gardeningknowhow.com/houseplants/hpgen/using-pesticides-and-other-chemicals-on-your-houseplants.htm

If the bugs are in the soil itself, you may be better off to repot the plant with fresh soil in addition to hosing down the plant and cleaning out the container.