Camera help (dirty shutter)

So I dug up our old Canon EOS 1000 and was going to shoot a roll of film just for fun. But when I was going to insert the film, I saw that it appeared to be some kind of oil on the shutter. I experimented with several shutter speeds, and I found that when I have a reasonably low shutter speed, it sometimes takes a tiny bit longer than usual for it to move away, and it has even jammed two times.

So how do I remove this oil?

I'd try isopropanol and a q-tip..

Those blades are REALLY thin and EXTREMELY delicate. You must be very patient and have a steady hand, otherwise you'll probably bend or otherwise damage them.

Here's an article I found about it:
http://photonotes.org/articles/oily-shutter/

looks like it'll take some luck to get that cleaned. if you can find where the oil came from it could help to find something to clean it

I did the q-tip thing and it works fine now