Help confused and jc won't help

Help please

I'm on income support and carers allowance and am wanting my bf to move in! He's on jsa.

I can't find out which is the most beneficial financial way to go, as in do I stop my income support and go on his jsa or does he come on to my income support claim.

I can't get my head around direct gov calculation! CAB no use either! Really confused.com

Any help gratefully received
Thanks in advance