I feel safer using the meths burner than the gas. Campsites rarely seem to sell meths when they do sell gas canister and often not the small size I need! Found some at a petrol station near a campsite last time I refuelled and normally get it from Wilkinsons but not in the camping section, in the DIY section of the store. I think that is the thing to remember, it's not in the camping section. I learnt the word for it in French for a trip to France, did my research, went to the supermarket that apparently stocked it, found shelf empty, asked in my best French and was very impressed that I said it well enough to be understood but they had run out 
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We use the folding cool box as a stool/table, sometimes we carry tiny folding chairs/stools which strap to the pack (even DS's ruck sack) or can be carried easily in one hand. Often we just use a ground sheet and fleece blanket. I prefer this two piece set up to a waterproof picnic blanket as the fleece blanket is also a blanket for bedtime, wrap for by the fire, or decorative throw and the ground sheet is useful in wet weather in front of the tent, folded up, unfolded when dry or as a wind shield/shelter.
A thin cotton sarong on top of the ground sheet works also as a picnic blanket, the sarong can be used as a towel which dries super fast or a table cloth or a throw or a pillow case.
I don't take a fancy knife as we often camp at festivals or have flown to France, I just use the knife from one of those clip together cutlery sets. I love those because I have to ensure all pieces are correct and accounted for before putting away, saves the odd lost fork. I'm too scared I'll get my lovely swiss arm knife confiscated so I never take it out .
Questions to ask of things in your kit:
- What does it do and what else* does it do?
- How small is it? Could I use something smaller?
- How heavy is it? Can I get a lighter one or am I prepared to carry it?
*I am prepared to accept 'looks good', 'is fun', 'has WOW factor' as a function, but this only applies to small, light items.
Kids toys, finger puppets instead of soft toys, beach ball instead of football, playing cards instead of board games. They carry their stuff!