That's what shop vacs are for.
Hope you're okay and it's nothing serious.
The problem with spiders is even the less well-known ones can hurt like a motherf*cker and leave a mark for a while. I got bit right on the nose about a year ago by a still-unknown spider and it hurt/swelled/stayed with me for the better part of a month. I still can feel tissue damage if I feel in the right place. Spiders are nasty. Get it looked at.