Is it a heat fused laminate or clear contact paper type of laminate?
Heat fused is available at most print shops and is much stiffer than clear contact paper, but it does cost more and tends to last quite a bit longer than clear contact paper type laminate.
If you piece the laminate, one of two things will happen - you will not line up the pieces exactly causing an overlap or missing section. Overlap makes it extra stiff, missing section means a spot will eventually tear. It is the old time and cost vs convenience argument. How badly do you want it done now? Whatever you decide is the right answer, just be comfortable with your choice.