Just jumping in to say that we too are DL regulars who honeymooned at WDW and fell in love with it. We'd highly recommend either of the Port Orleans resorts. POR is more spread out, and does have multiple bus stops but if you pay the extra for a preferred room then you know you'll be close to the lobby and might have a better chance at getting a package discount if POFQ is excluded from them. You can walk between the two resorts and use the pools at both whichever of the two you stay at. For a honeymoon they have a nice quiet rural feel that we enjoy. For our honeymoon we stayed at WL, which has become our favorite resort on property. As discounts come out, or you look more into DVC rental, you might be able to find a way to stay here for little or no more cost than Port Orleans. The biggest advantage here is proximity to MK, which is a short boat ride (or super quick bus ride) away. Bay Lake is beautiful, and the entire resort is under one roof which is nice in inclement weather. Keep in mind that there are two DVC resorts at WL, so while Copper Creek (which is in the main building) may not have studios available, Boulder Ridge is next door under a covered walkway, and might have more availability.
For us, coming from DL, exploring the resorts is a big part of the fun at WDW. It is amazing how big and spread out everything is, and you can travel for quite some time at freeway speeds on Disney buses and never leave Disney property. It really does feel more immersive than DL, because you don't have to leave the Disney bubble for anything, and it is a BIG bubble. Another thing that surprised us on our honeymoon was that MK was not our favorite park. Because of its similarity to DL yet with its distinct differences it often felt odd to us. It takes some time to adjust to the rides that just aren't in the right place. It is a big and beautiful park, but be prepared for things seeming a little off at first. Epcot is amazing, and great for a honeymoon destination. AK is very unique too, and could be a big hit depending on how into the animals you are. Now HS is getting pretty exciting too, although you will probably feel some similarity to DCA there as well.
Overall, congratulations on your upcoming honeymoon and make sure you enjoy the planning process together. Realize that you won't be able to do everything, but that's ok because it likely won't be your last WDW trip. There's so much that you can do to customize the trip into your ideal honeymoon by choosing the things that interest you most, and since you are familiar with Disney magic from DL, you have a good feel for what to expect, but you will likely still be amazed by how much is there. Happy planning!