To put on items just click on items when in your position interface. (click position on the right side of screen, then click items on the left side) You should see the items, if you are in the same room. Then you click stow, and select where you want to keep them.
As for getting items, you can buy them from other characters by using things like Centrepoint market (http://market.centrepointstation.com/index.php), or by buying them from a faction that makes them.
But to buy them you need money, so save your salary, and don't spend it all in one place.
Don't be afraid to ask people in your faction for help with this. That's what they're there for. :P