If the particles are charged, then you can use an electric or magnetic field to direct them.

This is what a CRT (cathode ray tube) does. CRTs were used in old style television sets and computer monitors and they used these big electro-magnets to direct electrons.

I have no special knowledge, but I would assume that particle accelerators make use of the same principles.

I'm not sure how one "handles" neutral particles like neutrons or neutrinos. I'm only vaguely aware that we've actually detected neutrinos. I don't think we're doing anything with them.

As for Neutrons, I would guess they have a source and line everywhere with an absorber (like lead or some other dense material) except where they want the things to go.

Try googling:

"how particle accelerators work"

"explanation CRT"

"controlling neutrons"

or something like that. (Those searches may not work, but keep messing around in that direction and I'm sure you'll find something.)