Information regarding change of circumstance??

Hi. I am currently in receipt of esa Support group. I have recently lost my father and as his only son, will probably inherit his home. I am told I need to notify about this. My father's home is in a neighbouring council, and I am petrified that I will nowhere near be able to cover gas and electric, and council tax. And I cannot understand AT ALL the info on UC which is what I'm told I'll be made to move onto. I'm beginning to obsessively panic about this. Any thoughts or directions greatly appreciated. Also how do I even know if this request is acknowledged?? And not just sent into the ether??