The fence is done and we love it! The gates are exactly what we both had in our heads--we didn't look at a booklet or anything to pick 'em out, just described what we had in mind to the head fence guy, and they had 'em built to fit the spaces. The fence was supposed to be done last Monday, but there was a delay of a few days due to a broken machine at the supplier who cuts the dog-ears or gothic points or whatever you want on top of the pickets (the machine cuts them twelve at a time!). And the gate latches are backordered until next Tuesday, but everything else is done, and beautifully.
Here are the first boards going up. These horizontal boards are called runners, not rails, which is what occurred to me. They're what you nail the pickets to, obviously.
Minnie can walk through the bars of the gate easily. Sammi, who's quite a bit stouter, has to wriggle a bit more to get through, but it works.
Now we can mark the fence project off our list. The only big remodeling project remaining is the kitchen and floors, a few years down the road.