Hi , thanks for the responses.
Just to be clear, our family circumstances have changed over 3 years of having the bunnies. It hasn't always been like this.
We actually got the second bunny to provide company for the first one (bunny1 arrived almost a year before bunny2)
Prior to this, bunny1 had a lot of roaming time in the house and a lot of time with the family but after reading the rabbits forum we decided it would be better for him if he had rabbit company (who incidentally advised against house bunnies being moved outside during the day)
I think our problems began when bunny2 could not be bonded with bunny1, I think I made a big mistake in not returning her to the shelter immediately but I kept her because she'd already had such a difficult start, been rejected many times and despite her aggressive behaviour she did eventually settle down and is very much a 'people' bunny.
The bunny's do come out of the pens but they have to be supervised at all times as they approach each others pens and start trying to attack each other through the pens (despite chicken wire etc) - during attempts at bonding, bunny2 caused bunny1 some very serious injuries and I'm terrified of them going anywhere near each other.
Because of this, the bunny's can only come out in the evening after work and I have to supervise them (individually) all the time they are out of the pens (whilst cleaning them out)
In amongst all this, the dc have developed allergies and can no longer 'help' me with the bunnies so I'm left with a full time job, a child with SN and two bunnies and a brain injured cat! ( who would definitely attack the rabbits if he got the chance)
I'm a little confused by some of the advice here as I was told by the rescue and by the rabbit forums not to put them outside ( central heating turned off in their room) as they were house rabbits .
Both bunnies are vaccinated, neutered and litter trained.
My DH (despite disliking the bunnies) stayed behind at home, missing a family holiday to syringe feed bunny2 through out the day and night and give her injections when she developed GI stasis.
I do love the bunnies actually and I am quite attached to them but I'll be honest in saying that I can not currently able to give them the time and exercise they need, if they were a bonded pair, it would be so much easier because I could put them in a heated playhouse in the garden with a run - however I have been told that they can not be bonded.
I feel that my affection for the bunnies may have clouded my judgement on what was best for them and I consider myself to be 'overwhelmed' rather than 'uncommitted'
Thank you all for your advice and honesty, I will take whatever steps needed to ensure their lives become more enriched. I won't 'dump' them on a shelter or rescue as it wouldn't be fair on them (or on my bunnies), I definitely won't give them away on a website but I will look for a way forward.
I don't like seeing them cooped up all day, they are looking depressed and I feel terribly guilty about it all.
Can I just ask whether you think living separately outside (still with little human contact but with exercise) would be better than rehoming?