Summarize:

If you haven't already done so, use a sharp cutting knife to cut a circle around the pumpkin's stem. Make sure the lid is wide enough for your hand to fit through comfortably. Remove the lid once you're done cutting it. As you're scooping out the seeds, place the seeds and pulp in a bowl big enough to hold everything. Remove large pieces of pulp from the seeds as you're placing them in the bowl, but don't worry about separating every single string. If you're removing the seeds from a smaller pumpkin, you may not need as large of a bowl.
Remove the top of the pumpkin to access the seeds. Place all of the seeds and pulp in a large bowl.