pip3 install --user pyqt5
sudo apt-get install python3-pyqt5
sudo apt-get install pyqt5-dev-tools
sudo apt-get install qttools5-dev-tools
$ qtchooser -run-tool=designer -qt=5
OR
Write the following in /usr/lib/x86_64-linux-gnu/qt-default/qtchooser/default.conf
/usr/lib/x86_64-linux-gnu/qt5/bin
/usr/lib/x86_64-linux-gnu
Create uic.py file.
#!/usr/bin/python3
import subprocess
import sys
child = subprocess.Popen(['pyuic5' ,'-x',sys.argv[1]],stdout=subprocess.PIPE)
print(str(child.communicate()[0],encoding='utf-8'))
$ chmod +x uic.py
Create a symlink:
$ sudo ln uic.py "/usr/lib/x86_64-linux-gnu/qt5/bin/uic"
[Desktop Entry]
Name=Qt5 Designer
Icon=designer
Exec=/usr/lib/x86_64-linux-gnu/qt5/bin/designer
Type=Application
Categories=Application
Terminal=false
StartupNotify=true
Actions=NewWindow
Name[en_US]=Qt5 Designer
[Desktop Action NewWindow]
Name=Open a New Window
Exec=/usr/lib/x86_64-linux-gnu/qt5/bin/designer
save in ~/.local/share/application with .desktop extension
Top-notch tutorial in that it works without a lot of knowledge about Ubuntu! I think it's possible that the Desktop Entry section is no longer needed. If you decide to keep it, it needs a minor update.
When I have finished the tutorial and Show Application in Ubu 18, I see two for designer. One has a generic icon and the other has an icon specific to Qt.

The .desktop file with is in /usr/share/applications/designer-qt5.desktop with a modification date in 2018 so I suppose it was installed along with Qt. The .desktop file for the the item with the generic logo is in the one I created following the tutorial.
So, two issues:
This is great work. Thanks again.