Hi Ginahalomoan, and welcome to MySwissAlps!
>> I will be travelling to Switzerland.
There's some key information missing from your post :-) What time of year are you travelling? The more specific you can be with providing travel dates, the better advice you will receive.
>> I will make Grindelwald as a base (or Should be Lauterbrunnen instead?)
Either would be fine - it's largely a matter of personal preference.
Grindelwald is surrounded by stunning mountains. It has more shops, hotels, restaurants etc than the other villages, and a busier, more commercial feel. Grindelwald is reached by train, and has a town bus service. The town bus service only runs until early evening, so staying within easy walking distance of the railway station is a good idea.
Lauterbrunnen is on the valley floor, so views are up to the cliffs on each side of the valley, and to the mountains at the valley end. The Staubbach Falls are also a prominent feature in the village. Lauterbrunnen is reached by train, and has a good village bus service, running half-hourly from early morning until late at night. Look for accommodation within easy walking distance of the railway station or a bus stop.
Both villages have car traffic, unlike the car-free villages of Wengen and Mürren, which are the other two main villages in the Jungfrau Region.
>> to explore Jungfrau region and Bern (day trip). I have difficulty to plan effective itinerary to visit these places.
The key to planning a workable itinerary is to use a map (to see where places of interest are in relation to each other), and the Swiss Timetable (to find out about travel times and determine how much you can fit into one day).
>> I will not do excessive hike, but I would like to include nice easy walk down hill to see beautiful scenery, sit have a coffee then enjoy the scenery. So here are places that I would like to see in 4 days. Schiltorn Jungfraujoch lauterbrunnen Bachalpsee Lake Mannlichen lake thun Schynige Platte with the trip to Brienz to go to the Brienzer Rothorn Murren walk? from where? Bern day trip
I think that is a bit ambitious for 4 days. Use the Swiss Timetable to plan your excursions. Some of the places on your list are not accessible year round.
>> then head to Zermatt for 2 days, after that to St morritz or (chur) which is one better? then head to Austria.
St Moritz is more picturesque and has access to more mountain-top trips if you stay long enough to enjoy them. However, it is a very seasonal town, and from early-mid April until mid-late June most mountain transport is closed for maintenance, and many hotels and shops also close. Likewise for the period mid-late October to about mid-December.
If you are only staying overnight and then going to Austria, I would stay at Chur.
>> I also need information what kind of transportation I should take to accommodate my schedule above and where I can see the fare for each route that I will take, as I need to calculate if I should get swiss travell pass, or other pass.
Use the Swiss Timetable (Advanced timetable - all public transport, all routes) for routes and fares. The link has been provided above.
It is important to be aware that the fare shown for any trip in the Swiss Timetable defaults to half fare, as most Swiss residents will have a Half-Fare travelcard which entitles them to this discount. Your calculations need to be based on full fares, which are double the default fare that comes up.
There is information and a spreadsheet here to help you:
www.myswissalps.com/tr ain/ticketspasses/prac tical/chooserailpass