Cycling in Osaka & Kyoto

I've read many blogs that recommend biking in Osaka and Kyoto. They say it's relatively easy even if you're not an expert cyclist. I'm thinking of giving it a try. The thing is, even though my husband and I know how to ride bicycles, we haven't tried riding on the road with cars before. It's always been in beach resorts. So I'm a little apprehensive about it.

Here's what I had in mind.

CYCLING IN OSAKA

9:00 am - Bike from bicycle rental shop to Minami Temma Park. Explore the park on bikes.
10:00 am - Bike to Osaka Castle Park. Explore the castle grounds on bikes.
11:00 am - Lunch at Saizou. (I wonder if they have bicycle parking.)
1:00 pm - Bike back to bicycle rental shop and return bicycles.

That shouldn't be too hard for us biking amateurs, right? A half day cycling through parks? Now cycling in Kyoto is going to be more challenging. We're only going to be there for one day so we have to make the most of it.


CYCLING IN KYOTO

9:45 am - Bike from Kyoto Station to Gion. Explore Hanami-koji Dori and Shirakawa-minami Dori by bicycle.
11:45 am - Lunch at Oshokuji Dokoro Asuka. (Again, I wonder if they have bicycle parking.)
1:00 pm - Bike to Nanzen-ji Temple. Park bicycles and explore the temple grounds.
3:30 pm - Bike to Philosopher's Path. Ride up the path until the end.
4:30 pm - Bike to Kamo River via Imadegawa Dori. Ride along the river to Kyoto Station.

This one I am more worried about because I also read that cycling in Kyoto can be quite chaotic. One blogger even described it as a "war" between pedestrians, cyclists and motorists. Although he did also say that most drivers in Kyoto are considerate towards cyclists. But I'm not completely at ease about the idea yet. I even tried asking a blogger from Kyoto for advice. I'm waiting for his reply.

What do you think? Should we try cycling in Osaka and Kyoto? Or is that too ambitious of us?