I use a french eggbutt with my guy. It's the only bit he likes. I would just suggest taking things very slow and work from the ground up. Start with building a relationship based on trust. Do lunge work wit him too. I don't know the details of your new pony, ie, age, how long off the tack ,etc. but first time riding him in all his tack I would make sure there are people around, jsut to be safe...just in case of those thoroughbred moments!
I would work on a lot of simple exercises, making sure he's listening to you, responsive to all your aids and cues. They don't get much on the track except for "GO!"
Jockeys also do a thing called "bridging" where they rest their hands on the wither area and the horses learn to run through it. I noticed my TB liked to do that a lot by setting the bit in his mouth, mostly when cantering, and that way he felt he didn't have to respond to my cues. You horse may not do that, but it is justt an observation. When I ask for the canter I make sure I am holding my reins higher until he relaxes into himself.
There is a great book called Beyond The Track that I would totally recommend getting. It explains everything really nicely with lots of detail and pictures for reference.
A woman needs two animals - the horse of her dreams and a jackass to pay for it.