Congratulations! And welcome to FT!

To make a long and complicated story short, the name of the game in airline miles and hotel points accumulation right now is getting a number of cards that each offer bonuses (most typically, 50,000 for signing up or initial spending of $1,000-$5,000 within a few months, though all of this varies from card to card and even from month to month). You can start to learn more by pouring through the various sub-forums and threads at the Credit Cards, etc., forum here at FT.

Now, once you get a given card, it can be useful for ongoing spending. The Citi Thank You Premier card is good for anything travel-related (from airlines to hotels to taxis), in that you get 3X the points (which Citi calls Thank You points) for each dollar spent. Both that card and the Chase Sapphire card also get you 2X the points for dining. (For Chase, they're called Ultimate Reward points.)

The value of these points is that you can then convert them into airline miles and hotel points, usually at a 1:1 ratio. My impression is that Chase right now has a broader range of affiliates than Citi, but Citi is catching up. And both TY and UR points can be converted into, for instance, Singapore Airline miles, for travel on arguably the best airline in the world.

Other cards to explore for sign-up bonuses are American Express for its Membership Rewards points and Starwood (SPG) American Express (different from the regular Amex cards that generate MR points) for points that can be used at both the Starwood chain and for conversion into airline miles at the rate of 20,000 points:25,000 miles. (Though as noted above be aware that with the upcoming absorption of Starwood by Marriott, you might need to use those Starwood points for hotel stays or airline conversion in the next year or two).

There also are American Airlines and United Airlines cards with initial bonuses that can come in very handy, though - to make another long story short - my own personal preference right now is the other cards I mentioned because they can be used for a wider range of airlines and hotels.

So...I'd suggest your each getting as many cards and initial bonuses as you can as soon as possible, strategizing first about which you'll want most since the cc companies might temporarily cut you from getting more off once you've applied for too many. Then use those for your wedding expenditures if it's not to late, to easily and quickly generate the initial spending bonuses. Then use the aforementioned Citi Thank You and Chase Sapphire cards for your honeymoon travel and spending.

One caveat here: If you have a very major purchase coming up in the next year or so, such as a house, you might want to go slower on your cc sign-ups. Lots of cc sign-ups can put a temporary dent in your credit ratings, which in turn could affect your getting loans or your loan interest rates.

One more thing: If you click on the Help link at the top of the page, you'll get to Glossary and Airport Code links that can help figure out the very confusing terminology we use here at FT.

Hope this helps!