I didn't find a video by Don Lincoln, but here is one by Kristy Duffy, who is also from FermiLab. How do particle accelerators make neutrinos?
The process starts with Hydrogen. Atoms are ionized so they can be manipulated by electromagnetic fields. The electrons are stripped off, leaving a beam of protons.
The proton beam is smashed into a target, producing a spray of particles like pions and kaons. These are gathered into a horn which focuses the positively charged particles and defocuses the negative ones. Or vice versa, depending on the experiment.
This answers your question, but at Fermilab the purpose is to create a neutrino beam (or anti-neutrino beam, if negatively charged particles were kept.) To do this, they simply wait until the particles decay. Then the beam hits a concrete or steel target. This stops all the particles except the neutrinos.
The neutrinos are on their own at this point. They are neutral so they can't be steered. They don't interact with matter, so they exit the accelerator and fly through whatever is in their way to the detector. For Dune, this is through the earth to a detector a mile underground several states away.
If you want more information about accelerators, Don Lincoln does make several videos.
And of course, now I find it
The choice of which to watch is easy. If you like banana jokes, watch Kristy Duffy. If you like Dad jokes, watch Don Lincoln.
Here is where to find Fermilab physics playlists.
Particle physics at home