Georgia is small but vertical: Tbilisi in the valley, the Caucasus range an hour or two north, the Black Sea at Batumi to the west, and wine country in Kakheti to the east. Distances look short on the map, though mountain roads take longer than the kilometers suggest.
The guides on this page cover Tbilisi, Batumi, Mtskheta and Georgia overall. Summer suits the mountains, when high passes and hiking routes are open; Batumi runs a beach season roughly June through September; Tbilisi is comfortable in spring and autumn and hot in midsummer. Several high-altitude roads, including the route to Kazbegi, can close in winter, so mountain plans need checking against conditions rather than the calendar.