Welcome! Thanks for rescuing this little guy. 
I wouldn’t do face to face introductions for a while. He’ll be in a completely new environment, right after having surgery. And who knows what happened before the rescue got him. I would give him a few weeks to heal from his neuter and to settle in and start to feel safe in his new home. Rabbits often go through a “post neuter craze”, after being fixed their hormones go wild for about a month and then balance out. During this time, he might act more aggressive/territorial and show other hormonal behaviors. This is mostly a concern for people who are planning to bond a pair of rabbits, but even in this situation I think it would be best to wait, so he’s as calm as possible before being introduced to a pack of dogs. Waiting for a few weeks will also give the dogs some time to get used to his scent and hopefully they won’t be as excited when they finally get to be closer to him. What will his setup look like in your house? Will he be in a room that can be closed off so the dogs can’t get in? Eventually, a baby gate might be a good idea (as long as the dogs can’t get past it), that way they can see and hear him, but can’t get close enough to bother him. When you’re ready for face to face meetings, I would do it with one dog at a time, on leash, with the bunny in his cage. Keep the dog calm, correct any undesirable behavior like barking or trying to pounce. If the dog can’t stay calm at a certain distance to the bun, take a step back until he calms down. It will take time, just keep doing short sessions. And make sure the dogs are worn out before meeting the bun, a tired dog is a good dog. 