Best places to see and eat in Japan for a 10 day trip?

First timer in Japan solo travelling, and I am a vegetarian. Looking for the best places to see in under 10 days (looking at going around Tokyo and then heading to Osaka and Kyoto as well) as well as good restaurants or things to eat for a vegetarian!

Also what is the best way to get around? I've heard of a Suica card?

And is it suggested that I stay in one place and just do day trips to Osaka and Kyoto or should I look at staying in those areas too? I am planning on staying at capsule hotels so any suggestions for good, clean, high quality ones would be great as well. Thanks!