Oh, dear. I am sorry. And also sorry that this post is a bit long.
There are various ways to deal with this. One couple we know started splitting the day's childcare between them, while the husband did his jobsearch in "his" half-days off. My DH was out of work for 3 months early this year (though it wasn't redundancy, but the end of a contract), and we found it helpful for him to get out and do his job search away from home.
For example, does your local library (they often have wi-fi) have places in it where it is acceptable to talk on the phone? That would keep him out of home, give him structure, give him somewhere to "get up and go" to every day....
Some cafes also offer wi-fi, and mobile phone use is fairly acceptable there. You pay for your "desk" in coffee. Sorry this is a rather expensive option.
If you live in a university town/city, the alumni centre or careers centre might be open to walk into (the one in Cambridge used to be). If not, if your husband went to uni, his uni might have a reciprocal agreement to use the careers/alumni centre of other institutions. If not, careers centres are always trying to prove they are not the useless milkround gateways that they really are (or were) and someone offering a talk on a certain sector and/or redundancy could be a quid for their pro quo. That negotiation could give him a bit of a boost, as well?
Also, it's worth mentioning that being made redundant doesn't have to be horrible, even if there is unpleasantness, because it can give the one being made redundant a chance to make demands and argue in a way which is impossible in normal working life. I was made redundant 2 years ago, and, to be honest, I enjoyed being able to go head to head with a manager who was a real backstabber (he was simply never available for anyone to have a go at!), because he was not able to sneak around behind me and stab! However, he was the one making me redundant, so had to turn up to meetings and face me, and there were witnesses (I was a union member), which seemed to really piss him off. I wasn't even being unpleasant or unprofessional; I didn't have to be. He so couldn't be arsed, that I took real pleasure in the waste of time our meetings represented (for him). Perhaps your DH might enjoy this, even a tiny bit? He needs something to enjoy, in an otherwise very stressful-sounding situation.
Good luck!