Get the child to start developing a routine at home. Doing the same things at the same time during the day help the child to adapt to the routines of kindergarten. These activities can be getting up in the morning, dressing, bathing, meals, nap time, etc.
Start reading to your child. The earlier the better. Get them interested in words and pictures. This also preps them for instruction time in kindergarten. Give your child their own big picture and word books to look at whenever they want.
Play thinking games. Ask questions about their day, their pets, or when shopping. Ask them thinking questions, like, should we wear sandals or shoes today, and why. Get them involved in preparing a meal.
Coloring books and drawing time. Children should start using crayons and other appropriate things to color and draw. It's not about perfection or realism, it is about the skill of using a writing and color instruments. It also fosters creativity.
Start them on the road to being independent. Start dressing themselves. Put their toys away. Wash their hands. Of course they should be feeding themselves and picking up their own dishes. These are things they need to be doing when they start kindergarten.
And that of course means not turning to you for help each and every time. If they drop something, they pick it up. If they make a mess, they clean it up, or at least help. Hang up a coat, put boots away, etc. If something they can do needs to be done, they are encouraged to do it themselves. Perfection is not needed, but attempts are a must.
Give them chores and responsibilities. This could be picking up all dishes after eating. Sweeping a floor. Wiping off their own faces. Getting a tissue and using it for themselves. If you go on a picnic, have them carry something. Anything the family does, they have a part in.