"Péter likes Éva's beautiful hands."

Translation: Péter szereti Éva szép kezét.

[guilth]

"hands" doesn't need to be signed as possessed?

[jsiehler]

Yes, it needs to be - and it is.

kéz - hand
keze - her hand
kezét - her hand (accusative).

Note the difference between kezet and (valakinek a) kezét.