I used to babysit. I had a weighted dice, that was for the child(ren) hugely useful for things like snakes and ladders.
If you have a garden / path then things like egg and spoon races can be fun - hard boil the eggs first.
There is a party game that is probably more suitable for 8 to 10 year olds but your eldest will be there in no time.
You need a bar of chocolate, unwrapped and on a plate.
Some dressing up clothes, a dressing gown, hat and gloves work well.
A knife and fork.
A dice.
Everyone takes turns to throw the dice, if they roll a 6 then they have to put all the dressing up clothes on and cut a piece of chocolate to eat but they have to do that with a knife and fork.
The dice continues to be thrown and if someone else gets a six then the person getting the chocolate has to stop and hand the clothes to the next one. As you get older children you can have 2 dice and make it a double.
You can change it about so chopsticks and M and Ms or Maltesers. Or you could use melon or grapes.
For small children you might just have a hat they have to wear and maybe not have the dice continually rolled.
Bear pit
You are the bear and you have your own territory, a rug works really well. you are not allowed to move from the rug.
You put a prize on the rug and they have to try to get it.
How hard you swipe at them and growl is up to you. You can also go to sleep and either wake up when they tip toe past or stay asleep and let them get the prize.