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It might be a little expensive for a first level character, but there is always the 500 credit Holoskin. You could be wearing the heaviest armor, but it look like you're in the skimpiest of fashionwear, at least until someone goes to try and touch you. But at slightly higher levels, it could be a very cost effective way to easily blend into any crowd, considering it can even change what race you look like, again, until someone touches you in some way.