Reasonable is to get one from Konrad, like the Eurochron model with the additional display.
The linked topic by @szopen has a few links which I shared about different models available in the Polish market.
For WeeWX you need a RPi or something similar to run on it. I do use RPi Zero-W for that purpose.
My choice would be an Ecowitt, or a so called FineOffset clone, preferably with a display for your convenience. All of those support WU as a web service to share data with.