For waveform analysis you will require a 'scope, frequency meters are for period and frequency measurement only I'm afraid. A good general purpose 'scope that will cover you working on consumer electronics should have ideally a bandwidth of around 40-100Mhz. If you plan on more serious work though, I would say 300-500Mhz will just about keep you covered depending on what you're doing with it.
If I was starting out again building my test bench, and had the money, I would be buying a Tek 2465B, for general purpose consumer electronics work though, the Tek 2235(without cursors) 2246(with cursors) are both winners in my book. There are loads of other good quality 'scopes around, especially of the far eastern variety, it doesn't have to be a major brand like Tektronix, Philips, Hitachi etc, or in fact cost you a small fortune. The only real drawback on buying a cheaper brand 'scope, is if it needs repaired, you will find it hard to get spares from any source other than the manufacturer or it's direct agents. Online auctions are fine to buy from, providing you can be sure of it's overall condition and return policy etc. Many a good deal is to be had from that source, but I would advise caution.