"Jak daleko je to do muzea koček?"

Translation: How far is it to the museum of cats?

[Mark841597]

V Česku je muzeum koček? Kde je to? :-o

[kacenka9]

Shockingly enough, there seems to be. At Lnáře castle
http://www.lnare.cz/zamek/kocky.html

[Mark841597]

vypadá velmi zajímavé, díky ;-)

[Lyn581999]

Je také v Praze Kočičí Kavárna:

http://kocicikavarnapraha.cz/

[tatka_]

I don't know about any museum of cats.

[Daria797617]

Is "to" necessary here?

[VladaFu]

no

[Tato1966]

Why not: to the cats' museum?

[BoneheadBass]

To me (native AmE), "How far is it to the CATS' museum?" sounds like you're asking about the museum that's owned by cats.

"How far is it to the CAT museum?" works fine in English. "How far is it to the CATS museum?" (no apostrophe) might also be used, though (to me) using just "cat" seems best. Those may or may not be among the accepted translations.