I work FT and have a teenager. The only way to work it is to have everyone pull their weight.
DD has her list of chores and if she doesn't do them her allowance stops. She has to wash the dishes every day, clean the bathroom three times a week, clean her bedroom, change her sheets, wash both cars at the weekend. She also does her own ironing, and cooks once a week.
DP has his list of stuff - he looks after the garden, rubbish etc, cleans the kitchen, mops the house, sorts the cats. Also irons his own stuff.
They both pick up after theirselves. Say picks up cups/papers from sitting room, generally spruces place up afterwards. That way the place doesn't descend into a tip.
You can't do it all on your own (well, you can, but you will resent everyone) and they are perfectly capable of doing it. Just make it a zero tolerance thing. You all live there - you all have to contribute equally to maintaining a well run house.