How many days r u looking at? This doesnt look like a 10 day trip to me. Also since its your first time, you shouldnt miss basel, geneva, zurich or atleast do 2 out of 3. Along with lucerne and Interlaken maybe Murren too. To see swiss half heartily will need 7-8 days, properly around 12.
Paris 4, amsterdam 2, blackforest + the travel 2.
If you are doing swiss then Germany is a small train journey away. Do the math + cost calculation first. Also when do u exactly plan to go? month?
This is peak season u know...