Yes, your first step is definitely to get a new light, filter, and substrate. But as others have said, there are approximately as many ways to set up a planted tank as there are people out there who have planted tanks.
As someone said previously, the most important thing for controlling algae growth is having your light and CO2 in balance. Do you want to do no CO2? Then you need low light. You could do DIY CO2 (yeast mixture in a pop bottle) but your tank is about the biggest size that that can be effective. And you still would probably want to stay with low light with that option, maybe medium light. Or you could go fancy with pressurized CO2 and a regulator and high light. With each option I listed, you can have lush, beautiful plant growth. It is just that with low light, it is SLOW growth and you must be very patient.
Although someone out there has had success with just about every type of plant in low light environments, it is definitely true that certain types of plants (generally, those that grow slowly to begin with) are better suited to a low light tank.
And then, say you want to do a low light tank. Do you want to do a Walstad style, "El Natural" tank with little light and no filters or fertilizers? Or a variant on this method, with mineralized topsoil substrate but you might have filters and fertilizers ("dirt tank")? Or get some kind of substrate designed to be beneficial for plants (there are many) and add extra fertilizers? Or you could say, forget all that, I'm going to provide all of the fertilizers myself, and go with an ultra-cheap inert substrate (pool filter sand, Black Diamond, there are many others). And I'm pretty new at all of this, so those are just the options I know something about.
Or perhaps the level of techiness of the tank does not matter to you. Maybe what you think is really great is the FISH. Or shrimp?? And there is a specific species of livestock that you want to make your tank ideally suited for. Or perhaps you want a tank with all of the plant and fish species from a certain region of the world (biotope).
Sorry. Did not mean to scare you. It is just that there are tons of options. And they all can work. So i would recommend doing a little research (this forum is a GREAT place for that!) and deciding a few things about style of tank that appeal to you. The forum is a great source of information. After you have a bit better idea of where you are trying to go with the tank, then you will have more specific questions that are easier for us to answer. And, once you get a few things set up, it is also a great place to purchase plants. Most people in the Sell/Trade section sell plants for much cheaper than other online stores. However, if you are looking for something very specific, its a bit harder to get it that way.