I don't think it's an easy journey—not because the material is intrinsically difficult, but because almost all resources are written for mathematicians and computer scientists. I think a "homotopy type theory for programmers" book/blog/playlist could be a big hit. I've been considering putting something like that together.
I view the relationship between HoTT and topology as similar to that of functional programming and category theory: you don't need to know the latter to learn the former, but having that extra background can certainly help.