How I connected to my home Wi-Fi:

• installed and set up wpa_supplicant:
  
  Code:

  wpa_passphrase HOMEWIFI password > /etc/wpa_supplicant.conf

• tried using it with netctl, but failed (will investigate later)
• used journalctl -b to find out why I could ping only about 4 times and got disconnected (there were more error messages, but this one caught my attention):
  
  Code:

  cfg80211: Calling CRDA for country: DE

• I’m currently not in Germany, so I had to make the driver use regional frequencies
• installed crda
• uncommented WIRELESS_REGDOM="CZ" in /etc/conf.d/wireless-regdom
• ran dhcpcd, it starts wpa_supplicant automatically
  
  Code:

  dhcpcd -i wlan0

Violà! :-)

Thank you a million Skry for giving Arch to us! :-)