There are many ways to look at the crop-FF differences, and IMO most of them are confusing and misleading.
Simply put, small cameras need small lenses and big cameras need big lenses.
As others have stated, you could use the same lens on a crop and back up. You could also stay in the same place and use a smaller model.
I don't agree with these viewpoints. As an artist, first decide on the composition you want - this involves the framing and perspective (distance to the subject). Then decide on the gear you need to capture your concept.
Long ago in history, crop frame cameras were 35mm cameras with a sensor that was too small, resulting in cropping of the image. Nowadays those same crop frame sensors have evolved into a legitimate format of their own. There are plenty of excellent EF-S lenses whose images are not cropped.
So it is time to put the history behind us and just work with our cameras for what they are.
I totally agree with DreDaze. If you only have one format, get familiar with that gear and how the focal lengths work. Forget about crop factors and equivalent angles of view. It's not that that information is wrong, it's just superfluous. It doesn't matter what the equivalent focal length is in a format you don't have. So for the crop format, a "normal" focal length is about 30mm, wide angle is 18mm, a good portrait lens for studio use is 50mm, and so on.
Myself, I have only crop bodies. Many times I have considered adding a FF body to my gear. But FF gear is expensive, buky and heavy. And for the kind of photograhy I do, crop is usually the better choice. So for now, I will stick with crop only. Budget is not a consideration for me in this choice. For you, the choice might be different, but I would suggest going crop until you find it is limiting you. When that happens, if it happens, you would probably want to add FF gear and keep the crop gear alongside it (instead of replacing it).