Any advice is welcome in order for me to enter into the sub-2-minutes / sub-1:30 realm.
First step is to learn Yau and there are lots of tutorials on that.
Learn 3-2-3 for edges. CrazyBadCuber has a good tutorial on that. Note that there are many exceptions and special cases to 3-2-3 and is probably the hardest part.
Give half centers a try. Not everyone likes it but I think it's faster because I don't have to hunt around for pieces.
https://www.youtube.com/watch?v=0iLxE4WZtr8
This makes me come to the conclusion (maybe wrong, can you confirm?) that I could solve all no-parity cases and reduce all the parity cases to this basic one, which, for now, would allow me to solve a 5x5 on my own by just learning this one alg. Of course, I assume that if I want to get any faster I will have to learn all those 12 cases (4 no-parity & 8 parity cases)
I learned all the 5x5 Last Edge cases from the Andy Klise site
http://www.kungfoomanchu.com/home.html#bigcubes
Spend a little time going over them rather than being overwhelmed that there are 10 big algorithms.
3 of them are just edge flips and don't need to be memorized (the ones with R U R' F R' F' R or L' U' L F' L F L' in them).
F2 r D2 r' F2 U2 F2 l B2 l' - can be ignored (it's rare so just do an edge flip to turn it into another case.)
r2 B2 r' U2 r' U2 B2 r' B2 r B2 r' B2 r2 - Same as the edge swap on 4x4 so you should already know it.
The only essential ones you need are the following two:
x' u2 r2 F2 U2 u2 F2 r2 u2
r2 B2 U2 l U2 r' U2 r U2 F2 r F2 l' B2 r2
Optional:
l' U2 l' U2 F2 l' F2 r U2 r' U2 l2
l U2 l2 U2 l' U2 l U2 l' U2 l2 U2 l and r' U2 r2 U2 r U2 r' U2 r U2 r2 U2 r' are mirrors so once you learn one, you've learned the other.
So what looks like 10 algs is really 2 essentials and 2 optionals.