Good advice thus far.
I will reiterate: definitely get them both walking politely on a leash alone first. Otherwise you will just have a tangled mess on your hands.
Also, no one has suggested this, but I tend to dislike any sort of leash connectors/splitters where you don't have individual control over each leash - to use either of those, your dogs need to be pretty solid in their heel without leash help otherwise they just get all twisted up, haha.
I would consider myself a more positive rewards leaning type, but I don't have much problem with prong collars on pullers while you address the issue with additional training (plenty of threads on that here if that's an issue for you, so I won't elaborate). As long as they aren't relentlessly jerked on, they can be very useful tools and are much preferable/less harsh (in my mind) to choke collars.
Once they are to a point you feel comfortable walking them both at the same time, this is what I tend to do for two: I like dogs to heel at my left, so that's where I put them both. When walking two, it's important to have a strong heel and also release for when you choose to let them sniff around from time to time. I prefer to keep two pretty much abreast, and you can usually figure out pretty quickly which one is best closest to you and which prefers the outside. You may find one really prefers to be ahead, and if you don't mind that, that can work as well.
I also like to have a good feel of both leads separately so I can adjust lengths and provide guidance individually. As I like a left heel, I usually put both leash loops over my right wrist, grab the extra slack in my right hand, and then have the business end of both leashes in my left. I will usually separate the leashes in my left hand by poking my last two fingers between them. I just find this gives me the ability to communicate with one dog at a time on each individual lead. I also often poke my right pointer finger between the slack portions in my right hand in case I need to adjust length.
Again, different people have different methods, but I've found that super useful when first starting 2 dogs walking together. Once they get the hang of things and more or less work off of your body language and verbal commands, you can ease off a bit since they won't need as much guidance from the leash.
Personally, it's easiest if they are both just superstars on the leash alone first - but I know that's not always the case = ) I walk friends' dogs sometimes with ours (who's awesome on the leash), so sometimes I have to have a little more control through the leash than might be necessary with two dogs you can work with daily.
Anyway, that was kind of a run on tangent, but maybe some of that will be useful for you = )