If you're really white, I'd suggest using tanning lotions since they gradually give you a tan. Better wash your palms though, because it'll look weird having tanned palms. lol
Tanning out in the sun is probably gonna (as you say).. Just turn you red! That's why I'd recommend fake tans for you!
I naturally have a bit of a tan, but using these lotions help me keep my skin tone glowing all year long!
The one I use is by Dove. It looks like a lotion bottle but it isn't... I got 2 bottles at costco for a pretty decent price. I heard that spray-on tans are pretty decent nowadays... I'd suggest reading the reviews for the products you see in your local store, over the Internet.
Good luck achieving that tan!
Oh, and I believe they make a tube for your face.. It works better because it won't clog pores and won't leave an oily residue on your face as well...
Unlike most lotion tans, the one by Dove doesn't stink bad!