I booked my Mount Fuji day tour from japanican. It's hassle-free but there isn't enough time to explore the area. I took the 1-Day Mt. Fuji & Hakone Tour (No Lunch) package.
Pickup was right from where I stay (Keio Plaza). The snow havent clear so the road leading to the 5th station was closed, we were took the highest point they could, it's just a stopover before driving down to Mount Fuji Visitor Center. There is only one pathetic cashier and it could be a long queue when there are many tourist so get someone to queue while browsing.
Then it's almost an hour drive to Lake Kawaguchiko for lunch. I din take the package with lunch and drop by a restaurant for lunch which cost 1900 YEN for a simple curry cutlet rice so it may be more hassle free to take their package with lunch for additional 2000 YEN. We will then drove to Lake Ashi for a 15 mins cruise to take the Hakone Komaga-take Ropeway which is a 7 mins ride up to Mount Komagatake. We couldn't see Mount Fuji throughout the journey or even the ride up till we reached the peak, the clouds clear for a good 10 mins before Mount Fuji is hidden again. Thereafter it's the ride down and the coach will stop at Odawara Station or Shinjuku Station.
Generally it's a touch and go journey, a lot of time is spent in the coach. I would love to spend more time at Mount Komagatake, take a walk to the shrine right at the peak of the mountain. One day is just not enough.