Yes, they are very different indeed and many including some veterinarians mistake them all as one and the same as the Australian species.
The RHP is fine with the basking bulb. Based on the height of where the lizard will bask, a 50 watts bulb may get you a temp of 88-90 F. Try to avoid the Zilla brand for bulbs as their bulbs don't last as long as Exo Terra.
You will find blueys are extremely hardy and they can tolerate a lot of mistakes if you make them, so take your time. They are nothing like ball pythons where 1 thing wrong with husbandry will throw off their appetite: they are reluctant to refuse their meals.
They are also intelligent so adding things for it climb on (not too high) or tunnels will provide some enrichment. For my tank, I use river pebbles, a patch of fake grass bought from a crafts store, XL PVC pipe as tunnels (Make sure they don't have sharp edges) and some wood pieces. His hide is a mini house made of bricks and tile which he actively uses to sleep in or climb on top for fun. Get as creative as you want for your new bluey and have fun.