My wife and I are traveling to Paris the middle of March. We will be in France for 8 nights and plan to stay a majority or all our nights in Paris. However Fontainebleau sounds really nice and we were wondering if it would be worth spending a night or two there. Besides spending time at the Château de Fontainebleau and surrounding grounds, the forest sounds like it has some good hiking trails we could spend time on. I also like to run in the mornings, preferably on dirt trails. Sounds like that area might have some good places to go for an early morning trail run.
We would also like to see the Normandy beaches. Would staying a night in Bayeux be worth it? Doing a day trip to this area from Paris would take about 5 hours round trip on the train. Might be better just to spend the night, not sure.
So basically we are trying to decide between spending all 8 nights in Paris in one hotel and seeing all these sites as day trips from Paris or spending 2 or 3 nights outside of Paris in Fontainebleau and/or Bayeux.