The vibration sensor is here:
there are 3 NRF24L01 in parts (enter NRF24L01 in to the search window and press enter)
the nano and pro mini are both in arduino in parts as are switches and leds. There doesn’t appear to be a KY-038 any where but it is easy enough for me to make one. Once you have adjusted the pots for a particular racket do you need to change them or does the setting stay the same? If the setting doesn’t change you can replace the pot with fixed resistors (and there are smaller trim pots as well) which would save some space. I think your plan to start with the modules on a breadboard is a good one, but I expect a custom pcb could be made to save a fair bit of space with some work if needed / desired.
EditL here is a part for the ky-038 so now everything should be present.
ky-038.fzpz (25.9 KB)
Peter