So how would you suggest I go about it? Shoot during the day, or at night? What type and which speed of film should I use for either lighting situation?
Ghosts are notoriously camera shy. I have seen apparitions when I have had no camera (and worse, when I had a camera that wasn't primed and ready to shoot). More than once I have pointed a camera at an apparition and found nothing on the film.
There are those who suggest that the apparition is projected directly into the mind of the observer and therefore will not show on film because it's not physically there. While this is a good explanation of why vampires don't show up in mirrors, it does not explain those photos where people appear when they weren't visible at the time of the photo. There are many, many such photos. Validated ones, I mean. There are thousands of fakes.
Ghosts can be photographed. It can be done, but it seems it's more down to luck than anything else. You don't need infrared film. It produces impressive results, but it costs a fortune to get just one or two worthwhile shots.
First you need to find somewhere you expect a ghost to be. That's the easy part.
The difficult part would appear to be--deciding where to aim your camera.
There's something about cameras that most people don't realise. Cameras sometimes see things the human eye does not, but cameras, both film and digital, are far less sensitive to light than the human eye.
It's easy to prove this. Go somewhere dark, wait until your eyes become accustomed, then take a photo with no flash.
Your photo will be blank, or at least a faint and disappointing image. The camera does not see what you see.
An apparition might be visible to you, but produce too little light to show up on a camera. On the other hand, ghosts can appear on film if they want to, or if they are caught unawares. They have appeared in daylight and night time photos, with all types of camera and all speeds of film. If they want to show themselves, it doesn't matter which film you use. Likewise if they don't want to be photographed.
Catching them unawares is not so easy. Long exposures will catch faint light, but that relies on the ghost staying still for the duration of the shot. You might get a vagely-human blur.
Thirty seconds doesn't sound like a long time. Try this; stand where you can see a clock with a second hand, and remain absolutely motionless for thirty seconds.
It's longer than you think. Why would anyone, alive or dead, stay still that long?
If you do get a humanoid shape, you've most likely found one (as long as you're sure nobody walked across the camera's field of view). The sceptics have an easy time wiith blurred images though.
Use whatever camera you feel comfortable with. I have used film from 100 ASA to 1600 ASA, depending on the conditions. If you capture a full apparition and you know there was nobody in shot, you've convinced yourself.
If you get a blur and you know nobody moved in shot, then you've convinced yourself.
You won't convince the sceptics, whatever you do. I've stopped trying.