Your previous question implied you were going to run wires for power anyway, at which point there's little reason not to use wired communication. There are also plenty of schemes for modulating data onto power wires; those work especially well if you use a higher supply voltage and regulate at the receiving end.
Adding an actual radio brings many new challenges - interference, range, obstructions which shield, susceptibility to power supply noise, regulatory...
Those regenerative 433 MHz ASK systems are truly horrible and would not support your desired data rate to begin with. Better 433 MHz FSK data radios which interface via SPI are available, but cost more.
Typically the cheapest radio solution is 2.4 GHz nRF24L01+ clones, typically a dollar per end, reasonable range, reasonable rejection of AM type noise sources, lots of hopping channels for deconfliction and a digital packet scheme to which checksums and even encryption is easily added. You'll also find lots of example code support for common platforms like Arduino, MBED, raspberry pi, etc.
In theory the 433 MHz FSK systems would have better wall penetration, but at a higher cost of 2-3 dollars per end. Going further still, LoRa radios have a unique modulation which provides more probability of success in situations with a poor ratio of signal to noise in both intereference and marginal range cases. But that's more on the order of five to ten dollars per end.
Ideally use wires not radio. If you do choose to go the radio path, look at the "Radio Head" library and see if your chosen radio type is supported there; writing radio code from scratch with only the data sheet register description as a guide in a painful process, especially if tackled without previous experiencing changing the details of similar already working systems.
