You will find that you earn more "points" towards assisted housing if you have been made bankrupt, but be careful not to show that you have made yourself voluntarily homeless.
If you own your own home in bankruptcy, personally I would sit tight for the first 12 months, during which time a Trustee in bankruptcy cannot commence possession action. So long as you continue to pay the interest portion of your mortgage (no point in continuing with a capital repayment mortgage as you're just creating equity for creditors) then you can effectively rent your own property for the first year. Once that year is up, you can then go to the housing authority and ask for an assisted property - on the basis that you are about to be made homeless.
Another benefit of sitting tight for a year, is that you will have received your discharge from bankruptcy, which might make it easier to get a private rental.
Regards, Melanie Giles, Insolvency Practitioner for over 20 years.
View my IVA blog at:
http://melaniegiles.blogs.iva.co.uk