Categorizing Japanese verbs as -ru or -u requires more context.
I prefer the term "group 2 verbs" to "-ru verbs." Group 2 verbs are verbs that end in -eru or -iru, not just -ru. Of course there are some exceptions, like kaeru, which ends in -eru but is actually a -u verb. Conjugation is easy: remove the final -ru and append -masu, -mashita, etc.
"Group 1 verbs" (again, -u verbs) are verbs that are not group 2 verbs. Conjugation is a bit more difficult because the -nu, -bu, -mu, and -u verbs have many suffixes. However, after memorizing these two (-nbmu and -u, because -nu, -bu, and -mu are almost the same), the rest are easy.
There are only two irregular verbs: kuru and suru. Just memorize them.
I learned Japanese by just memorizing. Once you have memorized enough verbs and their conjugations, you can figure out the conjugation of a new verb even if you don't understand how it works.
there are more irregular verbs than just kuru and suru. iku and aru are also irregular, for example.
Irregulars notwithstanding, the conjugation pattern is actually completely lossless if you just remember the imperative form (e.g. 着ろ kiro, 切れ kire) instead of the infinitive, which is lossy (e.g. 着る kiru, 切る kiru). Then there's no need to have to remember, "oh... is this -iru verb group 1 or group 2?"