Welcome to the forum, wimona -
Given this is a first trip (and a somewhat complex one for a first-timer) I'll throw my vote in with Activity Girl and Mr. E for considering the My Way Alpine Europe tour. This would be a great way to get your feet wet: hotels and place-to-place transport (other than for day trips and getting to/from Europe) are handled for you, and you have some daily support without having a lot of scheduled activities. Cutting out the accommodation and transport pieces will make the maiden-voyage planning a lot easier, IMHO: you can concentrate on the fun stuff. :O)
It's unclear if you'll be traveling solo but if so, it might be fun to have the company of others on the same trip now and again, such as comparing notes on the bus rides (no train journeys on this tour.)
Be sure to take a browse through the reviews in the link Activity Girl provided? There are oodles of comments about the scenery (!!!!!!), the pleasure of occasional interactions with fellow travelers, and having great tour managers for added sightseeing advice. Lifting just some of the many, many positive comments:
I would definitely do a "My Way" tour again. It offers us the
opportunity to see what is important to us, but having the lodging and
transportation arranged took a lot of pressure off of me when planning
our trip.
Our tour exceeded expectations in almost every way possible.
Incredible views, great hikes and places, people were amazing,
logistics worked fine, transportation and hotels were great, tour
manager was fabulous. It was our first trip abroad, so a steep
learning curve for us, but doing it through Rick Steves Tours really
allowed us to learn, adjust and thrive in our travels.
"It is impossible to pick just one (wow moment). We were awed by the
spectacular scenery on all the recommended hikes, especially the
Panorama high trail in the Alps de Siusi in the Dolomites, the North
Face hike from Murren, and the Balcony Sud in Chamonix. "
A couple things to keep in mind? Switzerland is not an inexpensive country, as I think this poster alluded to:
"I would say this tour is not for the faint of heart when it comes to spending for meals, lift tickets, etc." As you'll see in the reviews, hiking has been a favorite activity for many who've done this tour; it may or may not be one of yours?
Lastly, if wanting to do the tour THIS spring, you need to jump on it: May 11 is the earliest tour available, and there are only 2 seats left. That said, given the weather-related altitude, it's noted that the best time to go is late May through September.