Be aware they've taken some of those internal uterine implant thingies off the market - perforated uterus, etc. (Essure, I think it was.) The hormonal implants... I've never been keen on those because you have to have a doctor insert them in your arm, and unless you already know you're not going to have side effects, having to deal with side effects and then going back to the doctor to get the implant removed is just... ghastly, to me.
If you're going to go on the pill, do it now. Not all pills are the same, and some might cause mild side-effects (bloating, headaches, mood distortion). You want to try to get all that settled down before you get married so you're not dealing with being newly married and having your hormones doing a tap dance on you at the same time, and then dealing with a relocation on top of that!
You should be talking to your GP or gyn there in the States now, if you can. If you decide it's what you want to do, they might put you on a very low-dose pill and all might just be fine from the start. But if whatever you initially start causes you troublesome side-effects that don't settle down in a couple of months, you'll have time to move to another brand/dose of pill.
If taken consistently the effectiveness rate of the pill is close to 100%. There are other methods - diaphrams, spermacides, foams, condoms. None of those are ~always~ 100% effective used alone, but combinations of them are a good bet. I do have to say, though, that someone I know was using all four of those options one night and ended up pregnant. Ah, that 1 in 1,000 chance. Someone has to be the "1" or the statistics don't work, do they?
Congratulations on the marriage! I hope it's a long, happy one for you and your spouse.