Awe, how sweet. Congratulations you two!
There's so much that's going to happen in your first year together. My first bun Melvin and I got through our first year with flying marks, no major illnesses or injuries or anything...other than a little electrical burn on his lip from chewing an amp cord.
The best thing you can do is BUNNY PROOF YOUR HOUSE ASAP!
I learned this lesson the hard way so that others don't have to.
My Melvin chewed everything, pooped everywhere, and got into stuff he shouldn't have. It took several months to train him not to chew carpet and to use a litter box. All house plants have to be moved into a spot where bunny can't get to them and all cords need to be moved or protected. I use garden hose to cover my cords, I cut the hose down the center and wrap it around the cords and use duct tape to seal it back together. My rabbits don't even bother with it. Mount your wifi up high, don't leave your earbuds, cell phone or laptop charger any place where bunny can get to them.
As for the dogs, I have no idea. My rabbit loathes all dogs and thumps and hides when the neighbors walk by the house with their dog. He doesn't even like looking at them through the window.