Europe - last of the tour 2010

As a birthday gift this year, my wife and kids are sending me away. To Paris, for the last day of the Tour!

I work for an airline, so the flight is cheap and my daughter is married to the son of a high ranking British Rail executive, so the high speed rail is next to nothing. I have a 4 day weekend, so I'm flying to London to meet my daughter, taking the train to Paris the day before the final day of the tour, spending 1 night in Paris and spending the last day watching the race before heading back to London to sleep before leaving Heathrow the next morning so I can get back to work the next day.

Has anyone spent just one day (well, good parts of two) in Paris to watch the last day of the tour?

Anyone have any recommendations so I don't kill myself by trying to do too much?

Would it be best to just walk around the first day and sit at a bistro the second?

From experience, decide if there are any "must sees" for you in terms of museums, Eiffel Tower, whatever before you get there. When I was there for a day, I didn't have much of a plan and I was totally overwhelmed -- ended up just riding around and "scouting" for my triumphant return some day. Still haven't been back.

If you have a bike with, you can ride up and down the Champs-Elysees at some point (don't know when traffic is stopped, but it's not much fun otherwise). Where are you staying?

That's what I thought. There's just so much to see. Much like it was the first time I was in London. I'll try to pick out just a couple of things for the first day and take it easy the second. After all, I'm sure I'll be picking out a spot and sitting for most of race day.