You have few options:
If you have a house, its easy, secure a chest inside, place your items, log out, log in your other character
no house, you have a greater problem:
With only 2 solutions:
1) If someone that you trust in the game (another player), hand them the items (or bag of items you want transferred) Though realize that unless you know this person outside the game, anything can and might be kept by this other person
2) You need to find an out of the way corner, in a building that has very little player traffic, use your circle of transparentcy (its in your options) once you have or circle on, walk into a corner, drop bag on floor, ran like hell to the nearest inn/tavern log out, log in your other character, ran like hell back to the place you stashed your items (again use a bag/pouch for multiple items), turn you circle on again or use ctrl + shift to bring up object handles, grab the bag take your items back to your bank.