I'll throw my hat in for the bigger buns, I have 2. A Flemish giant mix and New Zealand mix. They are very active, but they're still young yet, I love watching them, I use wood pellets for litter and they do very well with the urine smell.
They also get a half cup of pellets in the morning and may veggies at night song with unlimited hay. I purchased a bale of hay from a local farmer for give dollars, and it was one of the best decisions I've ever had, my Flemish eats so much hay! I also do a no pellet day on Sunday and they get leafy greens instead picked from the garden, lettuce, kale, spinach, dandelions, clover, raspberries and carrot tops are all things I've tried with my rabbits and they love them all!
I love their attitude, I've had smaller dwarf rabbits in the past and I feel like the bigger ones are much more friendly and less kindly to bite, but I also got these 2 from breeders, and my dwarfs were from a pet store, so if i have a suggestion, look into local breeders or if you have a 4h program in your area, or show rabbits, the rabbits from those are handled do regularly, many are very friendly. :welcome1
Eta: cages. Really it's up to you about cages, both of mine are in dog kennels and get out at least 3 hours every day. They can jump around in there and stretch out easily. You want to make sure any cage or hutch you use is going to give them plenty of space to move around and stretch their legs