If I was in your position and had not purchased any of my equipment that I would be looking at putting a large canister filter on the aquarium, something rated for around 130 gallons would be good.
The bio wheel filtration systems are supposed to be very efficient because because what you have is basically a wet dry system so it wouldn't hurt to have one as well, but I certainly wouldn't be relying on one of these alone.. I will try and explain how this works as simply as I can. in order for your filter to remove dangerous toxins bacteria has to grow on your biological media. This type of bacteria requires oxygen to survive. The bio wheel filters turn much like a water wheel so they are basically being dunked in a out of the water, because they are being exposed to the air the beneficial bacteria will in theory be exposed to more oxygen than if they were submerged under water all the time.This in turn will make your beneficial bacteria that much stronger, that is supposed to be how it works anyway.
So if you have a canister filter and a bio wheel you will have some pretty good filtration.
As for heating, you don't need anything special, however, you want to go for something that your oscars will not break, so look for robust teaching. You will probably find that a 200/300 W heater will heat your tank nicely.