DE LA MANO sounds sweet on the surface and is a lot cheekier underneath. Luck Ra wants to give someone "los besos de buenos días" (good-morning kisses), and then the catch arrives: "Decile a tu marido que quedas mejor conmigo" (tell your husband you look better with me). So yes, she's married, and he's suggesting they sneak off: "Si quieres nos vamos escondidos, así no sabe tu marido" (if you want we'll go in secret, that way your husband won't know). Notice the Argentine voseo: "decile", "sos" and "con vos" instead of "dile", "eres" and "contigo".
The chorus is a wordplay trap you should know about. "Cogerte de la mano" means "to take you by the hand" in Spain, but in Argentina "coger" is vulgar slang for having sex, and the song knows it. The very last lines give the game away: "Mi amor, yo te quiero coger de la mano" (my love, I want to take you by the hand) followed by "Y lo otro también" (and the other thing too). There's also "Con un par de tragos, ¿quién no se equivoca?" (with a couple of drinks, who doesn't slip up?), and his reply is that he wants to make that mistake with her, as long as it's "varias noches" (several nights). Cheesy, a bit shameless, and very catchy.