My wife and I have hiked all over Switzerland and the Bernese Oberland is probably the most beautiful, albeit the most touristy. Murren, Wengen and Gridelwald are all great places to stay. Murren is a bit isolated (gotten to by local train or lift), but provides the best access to the Juangfrau trails. Wengen and Grindelwald are very cute, touristy villages. I'd probably opt for Wengen, which is smaller and has more hiking (including easy access to day trips for hiking from Murren). There's lots of good hiking either from the Grindelwad base (if you're a glutton for uphill punishment), from Murren on the Jungfrau trails (one goes behind a beautiful waterfall), by lift from the high ridge above Grindelwald, etc. etc. More hiking than you can do in a year, at all levels of difficulty and at all easily acessable. You can even take the tourist train to the Jungfraujoch, if you like!
Another option: hiking from hotel to hotel with luggage transfers. Our favorite small hotel chain in Switzerland is Sunstar, a small local chain with about 10 properties. Sunstar runs maybe $250-300 night for a couple with breakfast to $400-450 for half board. All the Sunstars have excellent restaurants and each has a large indoor swimming pool and spa.
In the past Sunstar has had 5 & 7 night packages were you stay at three of their hotels with half board and hike in-between, while they ship your luggage. We've done this once between Wengen, Grindelwald and Malthusan (home of the waterfall down which Sherlock Holmes fell after a fight with Moriarty). It's also fairly easy to arrange luggage transfers in Switzerland on your own,, so you could book your own hotel to hotel trip or book a package (either wheel and spoke or town to town) through a wholesaler, like Natural Adventures.
My wife and I have also twice used Sunstar for hiking trips between Davos/Kolsters, Arosa, and Lenzerheide in the Graubunden region of Switzerland near the Austrian border. We actually preferred the Graubunden to the Bernese Oberland; the mountains are a little smaller, but it's much less touristy.
We haven't down any town to town hiking in the French part of Switzerland, but I have taken dozens of magnificent day hikes in the mountains above Lac Leman while accompanying my wife on her business trips to Geneva. This has included hikes in areas around Gstaad, Leysin, Gruyere, Diablerets and Portes de Soleil (on the french border), as well as walks through the Lavaux wine growing region between Lausanne and Vevey. All magnificent, and all doable as day trips while staying in a wonderful city like Vevey (with the Chaplin museum) or Montreux (with the Jazz festival). And the Swiss make in easy by offering a 7 day rail pass for about $100 that is good tor 3 days unlimited travel and 4 days 1/2 price travel throughout the french part of Switzerland including the tourist train from Montreux to Gstaad.
Enjoy!!!!