If you want to fly with no hassles, just go the the many on-line websites giving your intended travel dates and you will get an exploded list of all the main stream airlines flying. Each of course pay a commission to the web site.
If you want to save big bucks, search the internet for different airlines and query their prices on line and book on-line direct with the airline. no commissions paid.
The lesser airlines can provide comparable service at often a fraction of the price if you are willing to take a side trip in that country. For example, I once flew from Australia to Los Angeles and return for a huge percentage less than the major carriers fares at the time. The Airline gave me an overnight stay in Kuala Lumpur Malaysia in a 4 star hotel/resort at no extra cost during the mandatory 30 hour layover between continuing flights. Also had enjoyable layovers at Taipai Taiwan and Tokyo Japan. The last two while only being in the transit areas of the airport for a couple hours, were entertaining visiting the different shops and restaurants.
Tip : Direct non-stop flights cost the biggest money.
I am currently seeing agents advertising flights in their shop windows for Australia to US return for as low as $1100 return, which equates to about $950 USD.
Try this as an example of what I mean ...
Qantas from Darwin Australia, return to Ho Chi Minh, Vietnam = $1400.
JetStar booked direct = less than $450.