I would definitely suggest an exercise pen, there are a bunch of photo examples in the “Cool Habitats” section, here is the link, and here is the address in case that link doesn’t work: https://binkybunny.com/BUNNYINFO/CoolHabitats/tabid/71/Default.aspx
Exercise pens are my favorite because you can re-position them, move them around, change their shape, and can be expanded to give your bunny plenty of room to run around.
I only have rabbits, but I think an important thing to be aware of is that there are a lot of differences in behaviors and mentalities between “predator” type animals like dogs, and “prey” type animals like rabbits. For example, dogs are usually pretty outgoing and much more comfortable playing with humans, whereas bunnies usually like to interact with humans on their own terms, and can sometimes be shy. Also, keep in mind that rabbits frighten much more easily than dogs, so I would recommend supervising your interactions between the dogs and rabbits just until your rabbit understands that the dogs are friendly and not try to eat her 
Exercise is very important for bunnies, so making sure your rabbit has plenty of space to play and run around is very important. Also, I wouldn’t recommend using the outdoor hutch only in limited amounts when you are outside with your bunny. There are several reasons. One is that bunnies can overheat very easily outdoors, also, bunnies get abcesses very easily and so you do not want them to get bitten by any insects because it could cause pretty serious illness or injuries. Also, since bunnies can frighten to death, if a cat or a dog were to get in your yard and bark at the bunny or try to get in the hutch it could frighten the bunny very seriously.
Let us know what other questions you have!