Kosice with about 200 thousand inhabitants is the second largest city in Slovakia. Most of the population lives in the communist era block of apartments so called panelaky. Center of Kosice is picturesque, looking like a center of smaller town, with imposing Cathedral of St. Elizabeth. You can visit Museum of Eastern Slovakia. Slovakia is not that much about big cities but about its nature, imposing castles, small medieval towns, folk culture - architecture Cicmany, Vlkolinec, folk art, folk songs and dances, folklife festivals. I would recommend the route from Bratislava via Nitra, Zarnovica, Banska Stiavnica (medieval silver and gold mining town now under UNESCO Heritage). You can overnight. Visit nearby Kremnica (also medieval mining town). Then via Zvolen (if you happen to be there July 10 through 12th stop in nearby Detva for folklife festival. IMHO the most authentic folk songs in Slovakia), Banska Bystrica (Museum of Slovak National Uprising), Brezno, Helpa, on the way visit Dobsinska Ladova Jaskyna (Ice Cave), hike in National Park Slovensky Raj (Slovak Paradise), then via Nalepkovo, Gelnica, Jaklovce to Kosice. From Kosice via Presov, Spisske Podhradie - visit huge Spis Castle (mostly ruins but worth visiting), Levoca (beautiful medieval town), Poprad then to High Tatra mountains. You can stay in any resort there, there are several. Very picturesque is Strbske Pleso. From there to Liptovsky Mikulas and nearby Demanovska Ladova Jaskyna (ice cave). Back to LM and slight detour to Dolny Kubin and nearby Orava Castle (very impressive). Then to Ruzomberok and nearby Vlkolinec with folk architecture (under UNESCO Heritage). Then to Terchova - picturesque village in Mala Fatra mountains (nice hikes). Terchova is a birthplace of famous Janosik (read Yanoshik), Slovak Robin Hood. Then via Zilina, Povazska Bystrica to Trencin - pretty town with the castle above it. Then short drive to Bratislava via Piestany, the largest spa town in Slovakia. I strongly recommend Bradt guide Slovakia by Lucy Mallows. And on this Travel Forum read under Slovakia these topics: Is this country most underrated? and Best destination in Slovakia. There are also few websites in these topics which are worth to go through. Good road atlas of Slovakia and Lucy Mallow's guide book will be all you need to enjoy your road trip. Having a car you will be very flexible. There are plenty of private accommodation so called pensions. With the car I usually don't book accommodation ahead. Simply stop when I feel like it and where I like it. Enjoy your trip and after your trip let us know how it went.