How death of a spouse affects my ESA C claim

I was previously in receipt of ESA IR and in support group. I had been separated from my husband who then moved in with me and was sadly diagnosed with terminal lung cancer. My husband was in receipt of ESA Contribution based and PIP. When he moved in my benefit change from IR ESA to Contribution based ESA. We still received some help with housing benefit and council tax.
Sadly my husband passed away 23/8/19. My husband is will his death trigger a Universal Credit claim for me? My personal circumstances remain unchanged in that I still have no savings, do not own my home so my financial situation is as it was prior to him moving in. He has no savings, no home, no pension and no insurance policy. I am hoping to continue with ESA but consider it should revert back to Income related and I will then receive housing benefit and full council tax rebate. Apparently I am entitled to Bereavement allowance of £100 monthly for 18 months but if I receive it will it affect my claim? I was also receiving Carer's premium but was not actually paid it due to the level of our income.
Could someone please, please come back to me asap as not only am I grieving over the loss of my husband but I am also trying to fight to stay in my rented home and need have up to date correct benefit information. Thank you.

Hi Bis

The reason I asked for advice is that I have been given conflicting advice on this subject. I want to avoid being transferred onto UC and want to wait for natural migration which means my current level of payment will be protected. The DWP want to push UC. My argument is that I was and am on ESA. Originally it was Income related but when my husband moved back his income was obviously taken into consideration and I was told ESA payment would now be Contribution based. Now he has sadly passed away my income has reverted back to where it was when on ESA IR. His death is the only change of circumstances in this household. I am still sick, I am not changing address, I have no change in my income and savings therefore I consider this enough evidence to stay on ESA. PLEASE PLEASE can someone help me with this I am struggling enough arranging his funeral and applying for bereavement support and bereavement allowance!

Thank you Gordon. So do you believe I could have CB ESA with IR ESA element added which would passport me to full housing benefit and CTR? Would I better of not claiming the bereavement allowance? I have tried all the usual sites with regards to a "better off calculation" but cannot obtain a consistent figure. Also, if I was to make a claim for UC would this then trigger a face to face assessment relating to my ESA SG?