C.,
I am a full-time working mom so I have little time to clean house and spend time with my family. What I have done is take each room at a time. I clean out all toys, clothes, and anything that I don't need, want, or that we have outgrown. I give away the nice stuff or have a garage sale. The trash goes in the trash and if it is seasonal, I put it in rubbermaid tubs that go in the attic. I also have long boxes under the beds for storage.
Next, I make sure that each room is clutter free. For example, my children's play room has stations and all the toys go in the right bucket or container. I tell my girls that we should be able to pick everything up and have it in it's house by the end of 10 minutes. We clean out the toys twice a year. Once in the summer and again right before Christmas.
Don't stress yourself out but just do it a little at a time. You have to make it work for you and your family. Good luck with two little ones at home. Enjoy them because time goes by fast.