Coy -
I know your DH is disabled, but he seems to have time to play with the girls and

so he probably has the ability to do more around the house. My guess is that he is like most men and just doesn't want to do it!

They get like that, so I've been told.
I would see what you can do to get your DH more involved in the day to day chores. Maybe discuss it with him and say that you are drowning, and need him to do some stuff, and see what things are things he could do? Look at the things you do daily, and see if there are things that he could do, give him the choice of what to take off your list, that way he can choose something he can do, and its lightening your load.
Then you need to have a discussion with your DH about the DD's and put up a united front, and be really hard on them. It is not cool that they are not using the garbage, and are making a mess of the kitchen like they are. The more you both let this occur the worse it is going to be. Your eldest is now of the age that she needs to be stepping up and doing daily chores, and your middle DD will learn by example and she can start doing little things too. I bet it will be hard, and you are going to be met with loads of resistance, but change is good, and in time they will automatically start doing these things on their own. You and your DH have to lead by example though. That means he needs to start picking up after himself, and put things in the garbage and he has to call them out when they don't to it either. I think I've suggested it in the past, but creating a list of the 'chores' for each DD and giving out stickers for when they complete things, successfully, so that it is shown as a positive thing, would be a great way to motivate them!

You can do it!!!