So, I've always used the synaptic drivers on my Lenovo ( 3 so far)
Make a backup first just in case this doesn't work, but I'd
pacman -Syu xf86-input-synaptics
Reboot and you should have options for tap-to-click
This is the package details: Arch Linux - xf86-input-synaptics 1.9.1-2 (x86_64)
And read up more about it here:
https://wiki.archlinux.org/index.php/Touchpad_Synaptics
Edit: Welcome to Linux! We're all learning here. Even after years, I'm still learning.