I think the problem is that we spend so much time focusing on learning. We overly focus on intellectual stimulation. Even LN6595's teacher's advice will only help for a short while, until you find the next seifer... And what do you do when you're between siddurim and a new one didn't come out yet?
See my answer to Experience-based advice for focusing and slowing down prayers? for a two-pronged approach to prayer.
My shorter but no less critical advice is to engage in hisbodedus, the way Breslovers do. It can get you used to speaking to the Almighty as an experience.
My longer advice, which got into some detail, was all about the Kelm version of Mussar's practice of hispa'alus -- encountering texts in a way that they have experiential and emotional impact. The word "hispa'alus" means to work on yourself.