If you're doing day trips to Nara, Osaka, Himeji, or Hiroshima from Kyoto, the JR Pass pays for itself fast.
1-week JR Pass: ~50,000 yen. A single Tokyo–Kyoto–Tokyo shinkansen round trip is already 28,000 yen.
For Kyoto-only stays, the JR Pass isn't worth it. Get a Kansai Thru Pass (subway/private rail) instead.