Thank you for you question
My name is Clare
I shall do my best to help you but I need some further information first
Where will you be living?
You need to be aware that you will have to live in the Uk for at least three months before applying for any means tested benefits such as Housing benefit.
Even after that period they will wish to establish that you are now permanently resident in the UK - but that should not be a problem.
I hope that this is of assistance - please ask if you need further details
How old are the child and what gender are they?
In that case you will only be entitled to claim for a two bedroom property
The most you would get would be £302 a week - and you are unlikely to get that since you have an income
You may find this site helpful
YOU will be able to make a Claim and some of the rent may be covered by housing benefit
Up to £302 a week may be covered - less if you have other income - you can get a guide on the website
However it is also area specific
Your wife would be able to apply to remain as the parent of a UK citizen