There are some distinct differences between 17th Century and 18th Century knives, and some pretty huge differences between 18th Century and 19th Century knives... always with exceptions, of course.
Most of the "trade", "scalper" and many of what we think of "butcher" knives are later. It goes without saying that there was virtually no English involvement in fur trade at that point, the knives they brought were for their own use, at least primarily, and it was still a period where you'd probably be expected to have your own knife for eating with, except perhaps at the richest tables. I'd expect to see a lot of typical 17th-Century triangular blades with fine points, relatively thick spines and integral forged bolsters, bone or wood handles, not flat stock-removal blades manufactured in large quantities as the trade knives were. Nothing fancy, of course- these were real Puritans, not 19th-Century caricatures, and they did not wear buckles on their shoes, much less on their hats, austerity and self-denial (indeed, self-loathing to a large degree) was part of the deal. Their "material culture" had surprisingly little in common with, say, the Royalists in Jamestown, that was exactly what they stood against.