Depending on what you want to do you can get away with a RPi and RTL-SDR which are pretty widely available.
Most wireless weather stations use ISM bands, I used RTL_433[1] to pull the raw data and quite a few popular stations already have the format documented.
Combine with InfluxDB+Grafana+simple polling script/program and you can do a bunch of fun stuff with it. Have the whole thing wrapped with docker compose and just runs in the backgound.