Good for you for doing what you need to do to survive and to continue to build a life. Unfortunately, it sounds like you and H are dealing with the loss in very different ways. He seems to be taking it out on you, maybe it is too painful for him to look at...
Grieving is necessary, tears are healthy, the wound is recent and terribly tragic...
I am glad you will have someone to talk to and who will help you to see how strong you are and how much life there still is for you to engage in----your loss is great...still so new,
and a person who "should" still be here is gone. Hugs and best to you. I understand totally about the house----makes one want to be able to go to sleep and wake up to having had it all taken care of, so overwhelming at a time when you don't need anything else to weigh on you---H is just as capable of cleaning---if it bothers him, encourage him to do something about it...sorry, I am always struck by the tendency of one person in a home to blame the other for things they can help to address.