I didn't have time to read the previous responses so I may be restating things here but here is my two cents:
Yes. Bunnies make great first pets, but as with any pet don't buy one if you expect it to sit alone in the backyard. Me have a 3 year old male rabbit (thought we bought a female, but surprise a few months later when his testicles dropped). We propmtly had him neutered which eliminates the male need to "sprat" their territory, it also makes the males more docile.
He is a "house bunny" and has free roam of the house about 2-3 hours a day. He is litter box trained and will return to his open cage to urinate and poop. If we remove the cage for cleaning while he is out he will poop where the litter box usually sits. I put a layer of strong cat litter in the bottom of the litter box and cover with the soft bedding that covers the bottom of the cage. It is ridiculously expense white recycled paper stuff that you buy at PetCo but it is amazing for oder control.
he desn't have the cage with the wire floor. I think they are cruel. He has the three story "ferrit" cage. Poops on the bottom level, eats on the second and sleeps on the third.
I have heard you need to provide them with a covered sleeping area but our rabbit has been out in the open in the midst of chasos since day one and is fine. He flops on his side when bored and just stares at us eating dinner (which usually gets him fed some of the leftover veggies).
Timmothy hay is neccessary for their "grazing" needs and help their urine smell better. We feed ours a seed mixture, fresh veggies and a chewable log to help his teeth grind down.
You need to trim their nails, brush their coat and we only wash ours when he has been in the fireplace. (We usually block it off when he is roaming but occasionally we forget and our white bunny turns black). He went comotose the first full bath he had (I thought I'd killed him) so I don't reccomend it unless you have a mess. We usually just "spot clean" his paws with baby wipes if he treads on something that discolors the white fur.
I hope this helps. Long I know, but we love our bunny and he truly has a fun personality. (they are also great because you can leave them for a weekend vacation, unlike a dog).
Google "house bunnies" for more indoor bunny care ideas.