Hi Shopper99 –
You have good advice from 1960sman and Lucas.
Perhaps I can add a few thoughts.
The location you describe puts you a long way (travel time) from the places you want to see. It is pleasant country, nice walking country, probably even in April, but the scenery , though nice, is not spectacular.
Checking the times of travel in the timetable linked by Lucas…please make sure to read the instructions page…will show that you have to spend a fair amount of time to get to Luzern, and another long journey to Lauterbrunnen. You’d find your self resenting the time needed to travel…even though parts of the journeys are scenic, and even if you used a car.
There are several maps that can be used to understand the geography. The one that 1960s man suggested is very good for a lot of details of the topography, in case you want to hike and would like to understand the altitudes involved.
Google maps is useful, as Lucas noted (no altitudes, though) , but my preferred map for looking up bus stops and train stations/routes (but not for hiking…no altitudes)…is:
map.search.ch/?poi=bergbahn,haltestel le,hotel,zug&pos=63627 2,160736&z=32
I have selected the Lauterbrunnen area, and, using the menu at left, under Points of Interest/Traffic, turned on layers with icons for transport stops.
I have zoomed in to zoom level 32, at which magnification the train lines pop up and appear very clearly. I like that feature a lot.
If you mouse over the icons, you get the exact name of the transport stop. That is especially useful for getting the exact, official name to be used in the timetable, or to watch for on the internal signage for stops common on many buses.
The Jungfrau region will still be quite snowy at high altitudes well into late May or early June. Skiing tapers off in April
The floor of the Lauterbrunnen Valley at lower altitude is clear of snow, mostly, by May, but I don’t know about April. Altitude is critical.
I think that your original thought of basing in or near Luzern and the Jungfrau region makes a lot of sense. You will pay more, but you’ll have a lot more time in the nicer environments.
We had good luck renting an apartment at the Swiss Holiday Park, in Morschach, near Brunnen on Lake Lucerne. Bus service is good. It has a restaurant, for the times you don’t want to cook, and we stocked up at the Coop in Brunnen. It does take a while to get into Luzern, but that part of the lake is beautiful, for lake boat rides and some easy trails, probably open in April. It is just far enough off of main transport lines to perhaps not be useful for you.
It is also a bit far for the Jungfrau region, and, in fact, you might look on the route between the regions….Sarnen, Lungern…….At least some time in staying Luzern is nice for the ambience.
Slowpoke