What sort of camping do you think you will like?
Some people like as many home comforts as possible and have EHU (Electric Hook Up) some people like a much wilder rustic style.
I am like that only go where they allow proper campfires, and don’t go to sites that have EHU.
I take a small gas stove and otherwise cook on or in the fire. So need a grill for over the fire, and a cast iron pot.
I use a high quality coolbox that will keep stuff cold for 5 days without being plugged in.
Most people prefer to take a table, for food prep and eating. Folding chairs (though these are not good for sitting at the table).
Perhaps a small table to put your stove on.
Pans and utensils for whatever you plan to cook
Brush fit getting sand / grass / crumbs out of the tent.
Washing up bowl, scourer, T towel
Easy to kick on and off shoes for going in and out of tent
Flip flops for showers
Wellies for kids: Dewey grass
Cork screw / bottle opener
Cafitiere?
Big 5l water container (supermarket bottled water one) to then re-fill for your water.
Torches, head torches, lanterns to hang in tent.