I think you're not helping your own feelings by terming everything "drudgery" and I also think you have a touch of the grass being greener elsewhere.
I work away 4 nights in a row, every other week.
There's no question of pulling my weight when I'm back - I'm divorced, it's just me when I'm back! (one child, which does make things easier!)
But your drudgery - cooking with and eating with my child, taking her to school, doing homework together... You frame it as drudgery, but that's all things I miss when I'm away and look forward to! I love doing homework with her - do you have to see it as a chore?
And on the grass being greener... Yes, the nights I am away are easier and I have time to myself. But I'm knackered on Monday night from the early commute or I've lost a portion of the weekend with a Sun night one. Thu night is a write off to a commute again. Now last night I did the equivalent of your husband pissing about on a computer game - I was on MN
But whilst it's fun and relaxing, it's not actually my choice. I can't see a friend, a film, spend time with my fiancé. I've no-one to go out with, I can't even choose exactly what I want for dinner. Can't crack on with jobs I want to do at home. I choose this life so you don't need to get the violin out, but honestly - being away from home may be easy but that doesn't mean it's fun!
Your parents and his are ridiculous (and a bit offensive and certainly patronising) saying you can't manage on your own - of course you can!
Fair enough to choose not to long term, but you can do it.
My tips are:
- remember to actually enjoy the 'chores' around your children - they're not always chores! You say you don't want him missing out on that time, yet you feel it's drudgery - it really isn't all!
- try not to get resentful of his free time, it actually isn't as great as you think (though it's not awful!)
- make sure you get the balance right on weekends
- that includes planning housework, if you think laundry should be shared or done by him, you need to schedule it for when he's there! Or if you want to batch cook to help you midweek, or meal plan and shop - he can do that at the weekend.
One thing specifically on laundry... School uniform is quite cheap for most schools. My daughter's stepmother complains about constantly washing. I bought 5 sets of uniform so I never get "forced" to think about laundry on a day I'm too tired or busy. I gave SM some extra sets! Have a think about ways you can make your life easier.