Luggage Lanyard

When I bring my Vanity case with me over seas where do I put it?
Ok my vanity case isn’t just a box or whatever it is round!!! And it kind of has this small lanyard attached to it (not for putting around the neck). Also my round vanity case isn’t small it is kind of large…
Where do I put it? Inside my suit case or do I hold it? I can’t aboard the plan with 10 tonnes of make-up products can I? So do I hold it…. Or put it along with my luggage?
Remember you can’t bring fluids over 100ml on the plane and there are a bunch of rules for bags that are going on board so I suggest you put it in your suitcase if it can fit… You should put a photo on here of a similar vanity case so we can know how big it is and tell us what are you planning to put in it , but I already think that you should put it in your suitcase