Really LOVE southwest here!
Some hints:
*Be sure to check in on line at the 24 hour mark and when at DW, go to any concierge area at any hotel or park (bring your conf #) and they will get you checked in at the 24 hr mark and either print put pass for you or you can get the pass at airport at counter( I usually just have them print it).
*Great if you download DING and happen to get a reduced flight, NO FEES to change anything and they will give you credit back ( to be used later)
*New boarding procedure seems to be working well, not sure age of your kids, but after A's board (they go wheelchairs first THEN pre-boards (those with blue passes) then A's then families with young kids, think its under 3 (?) and then B's and then c's., better organized now.
*very professional and have not had an issue to date.
*By the way their credit card gives amazing deals if it works for you, $ off and quite a good deal for "extra" miles, We earned a free ticket for both my DH and myself and had NO problem getting the flight we wanted (unlike DELTA, don't even go there, I avoid them like the plague if I can and have had free int'l miles I STILL can't use, They should be called BLACKOUT airline! UGH!)
Good Luck!