Learning Verb Conjugation

[El Gato]

It's starting to get easier to remember words and short phrases in Spanish but one scary obstacle still worries me (okay it's not the only one but it is the one that worries me the most). Verb conjugation.
One of the things I read in more than one of the books on Spanish I bought, or checked out at the library, is that Spanish verbs only come with three endings, -ar, -er, or -ir. But the large number of variations on each word for conjugation is daunting.
To make it worse, I've come across what appear to be verbs that don't end in -ar, -er, or -ir.

Cuidarse- To take care of oneself.
Romperse- To break.

And a few others as well. I have noticed all of these have an -ar, -er, or -ir before the -se. Should they be treated as they had that ending as opposed to -se?

Does anyone have advice how to tackle verb conjugation? Or is that something I should not worry about until later? I've been at this for less than 2 weeks.