Nintendo DSlite or DSi carry cases are perfect for carrying glass phials around. It will take about 6 5ml bricanyl phials and will even take (just) 10ml water for injection ones (I sometimes get glass and sometimes plastic water for injection). I have a nice Cath Kidstone one but they are really cheap and you can get a needles, alcohol wipe and a silloette in too. In the interest of experimentation I can get a 20ml syringe, 4 x 5ml bricanyl phials (lying down in the mesh bit), 2 needles, a alcohol type wipe and a silhoutte in one which is 24 hours worth of sub cut for most people.
Bex