7e Art is a sharp modern place with an early Hollywood motif (C. Chaplin lived in Vevey for many years). Breakfast is basic but fresh and includes an espresso machine. The owners include a Riviera guest card for your stay which gives you the run of the local trains and busses.
It is located in a quiet neighborhood a little outside Vevey in Corsier. It's a two minute walk to the bus stop. Bus lines 211 and 212 get you into town, the train station, to the funicular, etc. 120 SF per night is a good value here.