Despooking Remy and Bonbon

The weather's been lovely the last couple of days, the horrid cold wind has gone and the sun has returned!
I've worked both days with the horses.
I've taken Remy, first in the top field before going in the school and then worked mainly in lateral work at walk and walk/canter transitions. No spooking in the field, thankfully.
The transitions are becoming more fluid on the right rein and are becoming very sharp and clean, but now that we've got the go, we have to make sure we keep the stop. I must try to stay light on his back without letting him pull me forward, because after the first few strides, he starts to fall onto his shoulders and rush. I'm sure as we progress, we'll find a better balance.
His walk work is really improving and today he gave me some lovely shoulder-in, travers and renvers.
I've taken Bonbon for a walk round the top field the last two days as she'd gotten pretty spooky in there after seeing our neighbour coming across his field, stick in one hand and a large basket of cepes in the other. For some reason, his lurching and waving them at us freaked her out a bit.
Yesterday we got to the same bit of field and suddenly she lost it and started squealing and cantering around me. I managed to calm her without too much problem and then walked her around the field with lots of changes of direction, halt/back/walk on transitions until she was calm and relaxed.
Today, she was brilliant, focussed on me, halting as I halted, following my movements on a loose rein without any hint of spookyness.