Check your existing bylaws to see if they give any guidance. Our association's bylaws merely require that members be given 30 days notice of any proposed changes before they are voted on. We just approved several changes to our bylaws, and we did them all in one vote - but they were mostly minor changes, nothing controversial.
If your bylaws don't specify any particular procedure, my recommendation would be if any of the changes may be controversial, vote on them separately. If you don't expect any real controversy, perhaps make a motion to approve them all together, and then if it turns out in discussion that there seems to be disagreement, amend the motion to address them one by one.
Does that make sense? Or does anyone else have different suggestions? Again, check your bylaws to see if they say anything about how to make changes.