Peppers are perennial so it is easier than annuals.

Dig them up, pot them up, debug them, and bring them in.
Sunny Window and keep them watered.

Use a larger than usual pot for water retention.
Most bugs ccan be removed with a good stream of water.
The stream will also remove weak leaves, not to worry.
Aphids will be the biggest problem.

Sure, if you replicate pretty much the same amount of sun, heat and water it would receive outdoors, pretty much any plant can winter over. The plant doesn’t know whether it’s indoors or out.The plant only knows these things: Do I have enough:

• light
• water
• nutrients
• correct temperature range.

Plant death or dormancy comes about as a result of stress and stress means a deficiency or excess of one or more of the four factors listed above.