You could spend a lot and still have sound come through to the annoyance of others.
The biggest problem is that it's subjective - nature or God has given us tolerance to very loud noises, yet the ability to hear really small ones. You can't win, but you can do a few things that may help.
Thing #1: the frequencies involved and how they get around:
- the low pitched stuff is transmitted primarily through conduction and resonance, in effect the building's structure. The best way to reduce this is to avoid the noise-making thing coupling acoustically to the building. That means damping mats, etc. and it's hard with heavier machines.
- mid range and higher stuff travels mainly through air gaps, and to a lesser extent vibrates floors/ceilings. The good thing is that it's much easier to absorb than low pitched noise, so acoustic treatment(s) will always work better than for really low pitched sounds. Also look for chimneys, air ducts, gaps round pipes entering ducts and so on, anything that can provide a transmission path to other parts of the building - block and seal those, and you'd be amazed how much quieter things are.
Thing #2 the noise sources themselves:
Saws and routers consist of lumps of tungsten hitting wood at high frequencies. For example a 40-tooth SCMS blade doing 1800 RPM will thwack into the wood at 1.2kHz which is around the second D# above middle C, if memory serves. A router at 15000 RPM is lower pitched (two blades on the cutter usually). To this you add the motor noise itself, but it's all high enough in pitch to be absorbed if necessary.
If it won't make things wobbly, several layers of carpet felt (real felt, not rubber) under tyour router table will see off most structure-borne vibration. Then, if your doors seal well, and you don't have air paths to upstairs, and the ceiling/floor above is concrete, you can probably reduce a lot of the noise significantly.
But you won't entirely eliminate it. Perhaps a combination of sound treatment and bribery ("let me make you a nice...") might be the most effective.
E.
[edit - checked the pitch
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