1994 Legend wiper issue

My wiper fluid will not squirt out on the windshield. I know the pump is working becuase you can hear it plain as day. Also, I've taken a needle to each dispenser hole with no real success. A tiny bit made it out from the right hole, but that's it. Does any one know of a way to unclog the lines or remove the pump to clean the base of it? I'd like to have this taken care of before the bugs really get bad. Thanks.