I have dedicated travel bags, yes. When I pack for trips I have what some might consider a (weird) three bag system simply because I like to keep things "separated". My makeup one is separate from my liquids and my "toiletries" like face wipes, dental stuff, razor, etc., so that I can put my liquids through the security screening without issue, and then my makeup is easier to take in and out of the hotel bathroom if I need to do that in the other room, like if DH has to shower or go to the bathroom, or if I am on a girl's trip and it's 4 of us sharing it so I am not taking over the place. I used to try to get it all in one big bag save for liquids, but then I'd have to grab it all and it was a pain.
The Lima bag works really well for what I pack normally makeup wise, but if I were to pack a palette, most of the ones I own (or my small z-palette) fits just fine in the larger compartment under my brush roll. I keep what's in there pretty streamlined normally, just my "everyday" face plus maybe two extra shadows that allow me to change it up, as well as a more intense liner, and a more intense mascara, so that if we're traveling for a wedding, I have the ability to smoke it up. My brush roll contains everything I'd use at home, just a restrained version, like 1 of each type, vs multiples of each type, plus my brow pencil and eyeliner pencils.
Here are all three of my bags together. Since I pack pretty streamlined, all my clothes in a packing cube from Flight001, it all arranges in my spinner perfectly, and after security, I just stick the liquids bag right inside the spinner.
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open:
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The makeup one is this Tumi Lima kit (mine is a couple seasons ago, so it's a different shade, but damn I love that navy...):
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http://www.tumi.com/p/lima-travel-toiletry-kit-0481846IND
And the toiletry one is the Tumi Monaco kit (mine is teal, and again...damn I love that navy!) :
http://www.tumi.com/p/monaco-travel-kit-0481848INDF
The liquids bag is from Blue Avocado, and I got mine at Container Store.
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http://www.blueavocado.com/products/re_zip_zippered_travel_quart-167-34.html