Nishi (West) Honganji and Higashi (East) Honganji are two temples in the center of Kyoto, a bit of a walk from Kyoto Station.
Nishi Honganji opens daily at 5:30, closing between 17:00 and 18:00 depending on the season. It is located on Horikawa Street, a 15 minute walk northwest of Kyoto Station. From the north side of Kyoto Station, turn left on the main street (Shiokoji Dori) and follow that until it ends at Horikawa Dori; there's a pedestrian overpass at that intersection. You can cross there or use the pedestrian underpass in front of the temple. Either way, turn right on Horikawa. Follow that north, and you'll come to the temple after the next major intersection. There are two temples here; the first, smaller one is Kosho-ji. Nishi Honganji's main entrance is located just after the pedestrian underpass, where there is also a pedestrian crosswalk with a traffic light.
Higashi Honganji opens at 5:50 (6:20 in winter), closing at 17:30 (16:30 in winter). It's 10 minutes north of Kyoto Station on Karasuma Street, beyond Kyoto Tower. The Karasuma Underground Passage's northern-most exit will put you next to the grounds; make a U-turn outside (away from Kyoto Tower) to get to the entrance.