What Microprocessor with Wifi or Radio Frequency To Use

You mentioned that the Wemos board wouldn't be pwerfull enough for the project and I looked going with the raspberry pi. Now I am confused. Which board is best to go with?

The suitability of the Wemos as the AP server all depends on the web page(s) you are designing. If you are going to supply a few values like temperature, humidity it should be fine. If you want graphics, multiple pages, links, images, many simultaneous connections, etc., like a "real" web site, the Wemos may not be an appropriate server.