I was having this issue with my daughters as well so here's what I did.
I took a big jar and got them to color a decorate a label, it was labelled THE JOB JAR. Then I made about 30 different circular cut outs with various jobs listed on them (i.s organize shoe rack, wash bathroom counters, sort recycling, fold laundry.. depends on the age) Then I wrote a monetary value for each chore and wrote in on the back. I also put in little slips of various stickers they could add to their sticker albums when they finished their chores. The money they earned was then tallied and paid out as an allowance at the end of the week.
This system helped my kids go from outright refusal, tantrums, crying or ignoring us about chores, to them running the jar to us and asking us if they could PLEASE pick from the JOB JAR!! It rocks, but you have to stick with it.
Also if they didn't do their chores and they asked if a friend could come over, the answer was no, becuase their room was a mess, or the house was too messy to let someone come over! That changed their attitudes on cleaning as well!
Good luck!