You've got a lot of good suggestions here -- but let me try to boil it down for you. Yes, I have a scaredy dog.
When you are working with a scaredy dog you have to consider several things.
1. Often they will generalize all over the place -- meaning, suddenly EVERYTHING makes them scared, upset, blah blah blah. In essence what happens is the dog version of "If I can't win, I don't want to play!!"
2. So this is why the suggestion of offering the food and gradually adding your touch. Add your voice too -- just talk ... but make your voice soothing, crooning and generally talking about all 'good' things.
3. The magic happens tho in **tiny steps**. The suggestion of waiting a couple of days before even laying equipment near is a good one and is a good example of 'steps'. And if you don't get success with a step, back up and re-evaluate it. Where did the fear show... when you went to the cupboard? When you stepped near by?
So yeah, you may have to avoid all equipment until you can lay hands on your own dog!!
Do other family members have the same problem? Rack your brain for commonalities -- do you wear a particular cologne? Your voice? Words?
When we got Billy he was like 5 years old and had been BADLY Abused in foster care just before we got him. But as we began obedience, it was obvious he had some super bad memories to overcome. One of which involved "laying down". When we would try to give him a command (ANY words we tried to paid with 'laying down') he would freeze. Short of breaking his legs you could NOT get that dog to lie down.
He would shake and shiver, He would literally shut down.
So, we began our training sessions at home! ANY time we would see him 'lying down' just on his own volition BOTH David and I would say in a really low key, positive/warm voice BUT **to each other NOT to the dog** "Hey, honey ... look at Billy's nice LIE DOWN! Isn't that great?"
WE didn't talk TO Billy. We didn't address him by name for DAYS regarding this behavior. We just commented positively and warmly to each other as if we were just sharing normal conversation.
NEXT tiny step -- we began to say to HIM "Nice 'lie down' Billy" (ANY time we saw him simply lying down anywhere in the house but trying really hard to 'watch' for him to be 'laying down' when we said it."
Gradually the praise got warmer, more personal, more EXCITED on our part so it became true 'praise' just because the dog was in the process of LAYING down!!
The next tiny step was to combine food with putting our hand in front of him in the 'down' motion literally planning to catch the dog AS HE LAID DOWN so while he was actually doing it of his own volition, we combined it with a 'command' and rewarded him for doing something HE was wanting to do anyway!
This created the breakthru -- wow -- you mean you guys WANT me to do this? You are gonna give me FOOD to do this?? And ... it's not gonna hurt me??
In short order we suddenly had a dog who would 'lie down' any old time at all with NO stress. But the 'build up' to the desensitization took WEEKS. But dang, it worked!
I suspect you will need to do something similar to this. And the first 'touches' will have to simply be very low key and positive and work 'lower'.
Now when it came to touching his feet, he was also super sensitive. He's also a mega allergy dog, and we wanted to be able to soak his feet in black tea once a day for the allergies.
My husband did this one -- he sat a dish of 'sun tea' on the porch before he walked Billy in the morning. He also made sure a folded turkish towel was there. He would end the walk at the door, and day 1 saw him pick up Billy's foot at the knee and just plop it in the tea, then plop it on the towel and SHOVE IN STRING CHEESE in the mouth and praise.
Soon, day by day, he was able to do all 4 feet, swish the paws around in the tea for a while and THEN dry, then hold the towel in his hand so he could cradle Billy's paw IN his hand while 'drying' it, and eventually full fledged touching of his paws.
All of this ended in string cheese.
Billy will do ANYTHING for string cheese.
The ultimate outcome. "DAD are we done with the walk yet? The foot soak game is OVER THERE ... over .. yeah, that place .. yep ... COME ON .... yep ... come on HURRY UP THE STEPS ... the stuff is HERE!!!"
Yep ... let's end the walk EARLY so we can soak my feets!!!
You will win -- just keep the steps tiny tiny and the praise huge and heartfelt. If a step doesn't work, back up and do it a different way and do it in smaller steps.
Then, in honesty -- enter this dog in obedience training of a GOOD quality (NO Pet Smart obedience training -- get into a good class where they take time and no harshness). But give this dog chances to 'win' -- chances to earn effusive praise and it will build confidence.
Scaredy dogs are tough to train but soooooo worth it!!