In 2004 we bicycled 5 days in Slovakia: from salgótarján through Muran - Telgart (accomodation).
2nd day we climbed Králova Holá (1946 m), next day a hard tour from Telgert through the 1056m high saddle to Poprad, than to Stary Smokovec from where a BIG: Silezky dom / Velické pleso, than to Strbské pleso - POpradské pleso and back to home through that 1056m saddle.
On the 4th day we had a middle hard tour around the Slovensky raj: we visited Spisská Nová Ves (Igló), Levoca (Lőcse), and Dedinky,
Last day we cycled back to Hungary.
Video about the 1-2 days:
https://www.youtube.com/watch?v=grz1bc9B7IgKrálova Hola is fantastic !!
and about the 3-4th days:
https://www.youtube.com/watch?v=TdK_kMUUszg