So as for caging there are two types of rabbit pens that people tend to use
I actually have a mix of both for their main living area
There’s c&c cages or pens
http://www.therabbithouse.com/indoor/rabbit-cages-cubes.asp
Here’s one site about c&c cages but if you google c&c rabbit cage diy you’ll get loads of results
Then there’s pens. Basically you
Just get a dog pen or something called an x pen add some water proof floor to the bottom to protect your floor (vinyl tiles or matts or other options)
Add some soft matts ot towels and toy’s litter box ect and good to go
You csn even connect two pens for extra room
https://therabbithaven.org/Housing.html
Here’s a site with a couple of ideas for that!
You could even put the two of then together so they have a nice ‘condo’ c&c cage so they can jump up on things and a pen attached to it with the c&c cage just left open so they have a nice run area. But with the dogs I guess you’d have to find a way to add a roof to that, unless they can’t jump the dog pen if you get a big one like that
Can’t you just keep them in one room which is to remain closed all day so the dogs can’t get in?
As for grudges I’m not sure
I think my male rabbit blames me for his old bond mate padding away cause after that he got rather detached from me
So I had to spend a lot of time re warming him up to me so I think they csn forgive you but it takes a while