Do the spikes stay on during driving or will they vibrate off?

Spikes are removable by design — you take them off yourself when you want to switch styles. They're not press-fit, so they won't rattle loose on the road. Once seated on the lug nut body, they stay put until you deliberately remove them.

Will these spikes fit any lug nut or only these ones?

These spikes are designed specifically for this lug nut set. They won't be compatible with other brands or styles of lug nuts — the fit is engineered for this extended grooved body.

Do I need anything else to install these on my wheels?

You'll need your existing wheel studs — these lug nuts thread directly onto them. No additional adapters or hardware required beyond what you already have on your vehicle.