For the kick pedal(s) you can try building a "floating floor."
I have seen people who take two pieces of board separated by an array of tennis balls (usually held in place by means of small holes or collars.
Put a mat on the floor, put the floating boards on that mat and another mat ion top. This raises everything by maybe 4 inches, disperses the downward forces across a wider surface area, has a dampening effect. All of this should reduce the transmission of noise through the floor from the physical action of the pedals.
If you want to make a big enough platform, your whole kit can be decoupled from the floor which will reduce noise from the movement of the kit "scaffolding."
The cymbals are more complicated in that any dampening will result in potential trigger sensitivity issues. Maybe try moving the kit away from the shared wall. A very thick duvet hung as a tapestry might work to reduce any mid to high frequency transmission through the shared wall.