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The 'bug' problem that you have are rarely treated by tenting. The majority is related to moisture problems in and around your home.
Ten years is about the outer limits for treating the soil around and in your home for Termites. You are ready for a retreatment. The inspection part, which you can also pre- participate and should do on a regular bases is to walk around your home and eliminate any places in which wood parts of your structure comes in contact with the soil. The want is that wood sits several inches above the soil. If that is impossible, pull the soil back and use treated lumber and/or bug and moisture sealer(s) on the lumber. Treat multiple times to create a barrier. In addition to sealing against termites and other soil based 'bugs' target having water flow away from your home. In addition, to the 'sealants' this also allows the soil to dry, which will in and of itself reduces the presents of many soil based 'bugs' at the side of your home. While you are inspecting look closely for Ants.
Silverfish are very commonly connected to moisture sources created by leaking water sources in your home, thus creating moist areas. Add, general darkness and you have created the area that they love. You can treat for Silverfish, but until you halt the water leakage source, its only a very short term fix. This can also be something you can do in the advance of the professionals coming, and like above, should be a common part of a home owners self inspection. Determine where you are seeing the Silverfish most often, now check all water sources near this area. That includes all incoming and outgoing water sources. Example: Any sink, two supply sources (hot and cold) one drain pipe. Check inside cabinets and under those areas. NOTE: Silverfish are an indication that a leak is cause rot in your wood structure and that will seriously weaken it. Find and eliminating the water sources will save you thousands in repair later.
Moths are present around a food source, which is not being protected or clean properly. Not to be mean, BUT - moths are most commonly a house keeping issue. With parrots, their dry food is a major source. ALL dry foods for your parrots should (MUST) be kept frozen to eliminate moths. Freeze new purchases for at least 30 days prior to use and only bring out what is needed for the next couple of days. A complete home cleaning from the upper most regions to the deepest regions also helps for non food based moths and other 'bugs' that source from general house keeping and/or poor storage systems. In general, get rid of the stuff or store it properly. Any stored item that can trap even light amounts of moisture can become a haven for 'bugs.'
When you have completed your efforts, you are now faced with 'crazy cleaning' everything! Yes, everything!