Heh!
I am the exact same. So it's not just you in this instance! They're damn creepy little things..
In fact, when I was younger my friends took me to see the film Arachnaphobia on the big screen, and bought front row seats, thinking that this would be a good way for me to get over my irrational fear...
I couldn't ever move from my seat, and I would bet good money that there must be scratch marks in the arm rests of that seat, from the way my fingernails were digging into them throughout!!
Thank God Spidey doesn't look like a Spider..(And yeah before anyone thinks of it, that Marvel Fanfare issue in the savage land, where Pete gets turned into a spider?...Suffice it to say it made for a very uncomfortable read..)