There is a good book called "Have A New Kid By Friday" by Leman. Its real great, easy to read, and practical. It is not derogatory in approach.
For my kids, who are recently turned 4 and 7.... all these 'reward' type things don't really work.
For my kids, per the way they are, we merely teach them about being a 'TEAM" and what "family" is... and that to "help" each other etc.
Overall, if a kid learns these things when they are young, they will get older and still have these 'values' instilled in them. even without a 'reward' being given them.
To some extent.... 'praise' is just as good as 'rewards.' If given rewards all the time, a child will think that behavior is based on getting something... but yes, it can help... to encourage a child. Teachers use these methods too, in school. And it works, with students. As an 'incentive.' So try it.... it can be anything, that YOUR child will respond to.
Once, I used a paper plate. On one side of it I drew a happy face. On the other side I drew a sad face. And I used that with my daughter.... for her behavior. And for a time, it worked.
You often will have to try different things... because a kid will tend to get desensitized to something....
Also, kids at this age do NOT know what "1 week" is.... they are not aware of time constructs. So telling them in 1 week they can get a reward... may not work, because 1 week is a LONG time for a kid. And by the time the 1 week is concluded, they may get tired of it already or not be able to 'wait' for it... even if they were good.
And also, kids this age do not have totally FULL impulse control yet, developed. So yes, they are always not able to sit still nor to just stop things at will.
You also need to, by this age, is teach them HOW to communicate, the words for feelings (good or bad) and that they can tell you. For example: My son just made 4. But, from the time he was only 2 years old, I taught him the words for HIS feelings. ie: happy, sad, frustrated, mad, grumpy etc. And he at his young age can actually tell me.... what he is feeling and why. He will actually tell me "I am grumpy... I want to be left alone now...." and I respect that. Then when he feels better, HE will come to me and hug me. Or apologize. But I also ALLOW for him to say and feel what he is feeling... or if he needs help, how to ask for help. Or if he does not want help, that he can say that too.
So thus, it 'teaches' a child, how to navigate themselves/their feelings/and problem solving. And at home, is where they need to learn that and to make mistakes along the way, until they get better at it.... they need to be allowed to have a learning curve about it, and practice it.
What I also do is: if my kids on purpose do not cooperate... I tell them "If you don't cooperate, Mommy will not cooperate with you either..." and then I walk away. Period. This, makes the kid 'realize' that it is a 2-way street... and that their cantankerous behavior will NOT make "Mommy" do what they want either.
I also tell my kids if they misbehave "Redo that..." and it means that they have a chance to redo the misbehavior they did. And I tell them that it does not have to be "perfect" but to "try your best..." per their age. Then they will think and do it another way... that is more palatable. Then I praise them for it.
THIS teaches them, that there are more than one way to do something... and HOW TO PROBLEM-SOLVE.... which is a valuable 'skill' for a child to learn. And so that they can gradually learn, how to think on their own... without just fear of a punishment or scolding.
And, definitely, have your girl participate in "chores" already.
Make it fun/easy chores she can do per her age. Do NOT focus on how 'perfect' she does it, but that she 'try her best..." and that it is a PART of her family... and that she is a PART of the family... and that everyone is a TEAM. That is what I do too, with my kids.
just some ideas,
all the best,
Susan