It's one of the greatest fallacies in poker, that higher stakes are easier to beat than lower stakes because they will "respect your raises" and "not play crappy cards". That said, I agree with what the others said, there will be no difference between 0.01/0.02 and 0.02/0.05.

Sure, players at higher buyins may not put some terrible beat on you when they river two pair against your TPTK after calling big bets to the river, but you WANT to play against players who will put their money in with the worst of it.

FWIW, I started my poker career at 0.01/0.02 with a $20 loan on Stars from a friend. Ground it up to $100 before switching to SNGs. Roll is now $6k and I've never had to deposit (other than for b0nuses).