Cutting off dead fronds arent bad at all for your palm, and actually should be done to keep the plant focused on using its energy on green leaves instead of yellow or brown ones. It also gives the palms some more sunlight, but if it was winter, it would be best to keep the dead leaves on because it does help insulate the palm at least a little, and usually during a cold spell the lower fronds are the first to go anyway.
Good luck!

Before

After

Keep us posted as to how fast and how well it refoliates.