If you have a lot of anxiety in your life right now there is some potential for a negative experience. If you're still sure this is what you want to do, I concur with velmwend, start with a low dose. The key is you want to feel safe. If you do get some fear or panic during the come up, just relax and go with it, don't fight it. The very first acid trip was April 19th, 1943 and Albert Hoffman said it was a bad trip at first but once he figured out he wasn't going to die, it turned out the be a positive experience.
From Wikipedia:
Hofmann’s condition rapidly deteriorated as he struggled with feelings of anxiety, alternating in his beliefs that the next-door neighbor was a malevolent witch, that he was going insane, and that the LSD had poisoned him. When the house doctor arrived, however, he could detect no physical abnormalities, save for a pair of incredibly dilated pupils. Hofmann was reassured, and soon his terror began to give way to a sense of good fortune and enjoyment, as he later wrote...
"... little by little I could begin to enjoy the unprecedented colors and plays of shapes that persisted behind my closed eyes. Kaleidoscopic, fantastic images surged in on me, alternating, variegated, opening and then closing themselves in circles and spirals, exploding in colored fountains, rearranging and hybridizing themselves in constant flux ..."