If you're free tomorrow, I can show you around Kyoto.

Literal

Tomorrow honorable-free [if-ならば], Kyoto [possessive-の] here-and-there [object-を] honorable-guide can-do.

Full polite conditional ならば (longer form of なら, slightly more formal). お暇 uses the honorific prefix on 暇 ('free time') for the listener's time. あちこち ('here and there') is a reduplication of あち+こち ('there and here'). ご案内できる is the humble potential form — 'can humbly guide.' A polished offer befitting a host or tour guide.