Yes a wider and heavier duty rim would reduce the chance of pinch flats combined with a wider tire. Find out how wide of a tire can fit in your frame and don't forget that wider tires will generally have a larger diameter which can rub against other frame parts. After you have determined what will fit get the appropriate width rim. You can get back to us for recommendations once you know the tire size. If you're not pumping up the current tires to it's max of 65 psi make sure you try that first as anything lower increases the chance of "snakebite".