Hi
Just use a good moisturizer, your normal one will be fine. I guess you wouldn't want to chance changing your usual one incase you have a reaction and break out for your holiday!!! lol
You can take most items in your makeup bag, but you need to use a see through bag for all liquids. You musn't take any liquids over 100ml on board it will be taken off you at security. Have a look either on the back of your ticket, or log onto the airport website you are flying from.
If you don't want to lug your whole makeup bag in your handluggage, just take the basics so you can look fresh on your arrival.
xx
Don't forget to drink at least one glass of water an hour.