Should partners still help tidy after themself and help out a bit around the home if they work full time and I dont?

My partner works full time & i stay at home , my children have recently started school but its still hard to find a job in the hours i need to work around the children, I've mentioned to my partner for me to start working too if he can help with the kids sometimes he just gets annoyed saying he can earn more than me so we have always left it he works n i keep ontop of the home and children then when i drive i can keep trying to find work that i can do around out children However when he comes home i would understand have a little rest but all he does is laze about, im starting to get annoyed because he will be sat there on his phone while im trying to do everything with the kids cook clean as well as dealing with mom mom every second read there bed time storys baths put them to bed everything. Meanwhile my partner will have his food not even wash his own plate up just puts it on the side n does absolutely nothing to help” he says because he works” the other day i stood there for hours cooking his dinner asked him to go shop to get fairy liquid so i could do the dishes but he diddnt. I ended up cooking going shop doing the dishes ironing the kids uniform read there storys put them to bed wash his work things while he sat there. I question myself if i have the right to be annoyed because he does work and i dont but he's sat there having everything done for him since he's home and then i still have loads to do come 9, oclock?
he also will moan to me everyday about how his works been and issues he's had thats causing his stress etc yet every time i have a nag about something he gets annoyed says he dont want to hear it i have nothing to stress about. he will tell me times he home so i do food then he will be back hours later not eat it because “its dry “ so then i have to make something else for him , sometimes he says he dont fancy nothing and will ask at 9/10 oclock to make him something and he still doesn't help with even his own plate after having the food

Should partners still help tidy after themself and help out a bit around the home if they work full time and I dont?
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