We hired a cleaner. She does the bathrooms, mopping, benches and vacumming.
DH and I take care of the cooking, washing and dishes. DS loves being outside with me when I hang out the washing, and playing in the clothes as I'm folding. I'm amazed at how much I can get done in 3 minutes though, I can put away the dishes and make DH's lunch as the kettle boils for coffee, lol.

For me, a messy house makes my head feel messy, so it always had to be reasonably clean and tidy, and if it was too much stress for us to maintain it, it had to be a cleaner. We were totally happy to pay someone $50 a week in order to make us both more relaxed.

Hmm, not sure this has answered your questions! I think yes, you can have a clean house and be an attached parent, but you probably have to pay for it (or get DH to give up TV!)