Speak quickly but clearly. An Irishman will not be caught saying, "coulda, woulda, shoulda." Each sound (unless dropped via a phonemic process) should be given attention. Your tongue and lips will be getting a workout.
If you do have pauses, use "em" to fill them. Stay away from "uh" or "um"; "em" should be your filler. If you can throw this in naturally and without thinking, your Irishness will be upped ten-fold. It's used all the time -- so when you're thinking of how to pronounce something, you know how to fill the silence.