Those two are the best, yeah. In order from best to worst, the hands are:

[He starts listing them off on his fingers.]

...Royal flush, straight flush, four of a kind, full house, flush, straight, three of a kind, two pairs, and one pair.

[He finally pauses for a breath.]

If nobody's got a hand, then whoever's got the highest card wins. See?

[...Yeah, it's only simple to him because he grew up around this stuff.]