Being an EE, I've used Agilent/HP, Tektronix, LeCroy, Hitachi, my Dad's BK Precision, and a variety of others. I'd always take an Tek over an Agilent/HP, unless I was doing just digital stuff. That said, LeCroy makes some nice scopes. I'd avoid the Tek 22xx series, unless they were cheap. The storage function for capturing one time events(like glitches) is very useful, otherwise the analog phosphor scopes are just as handy if you have a digital camera, as you can take a picture (some macro cameras one can full screen and get much higher resolution than you will get with an LCD. But a clever hint, put the camera on movie mode, and now you have the storage function.
Those old analog scopes will give you much more for your money, and you won't get the same quality/functionality until you go to a true analog modern scopes that cost more than modern cars.
If you go the old route, one feature I'd make sure an old oscilloscope has is that the scope does have a triggered sweep.
Once you get into the 30,000.00 range, the Agilent/HP scopes can capture what you easily see on a Tek, but you have to go and set various options in the menus- and no, you have to set up things differently for different signal types.
Most all digital scopes can save the screenshot as an image file, and one can save waveforms as .csv, if you'd like to drop the waveforms into Excel for further processing, or creating your own graph.
Keep in mind that an oscilloscope's bandwidth is the point at which a signal like a sine wave, at that frequency, is 3dB down, or only shows 70% of the actual signal's amplitude. If your digital signal edges are faster than the reciprocal, the signal's rise and fall times will be stretched out (be really slow).
For digital work you want a scope that is much faster than the edges you need to look at, take a look at the apparent 100MHz sinewave, which is actually a rectangular looking square wave, and even the 500MHz scope makes the clock signal look really messed up:
http://gpete-neil.blogspot.com/2011/10/determining-how-much-oscilloscope.html
IMHO for digital, to really see what is going on, you need a scope with a Bandwidth that is 10x higher than what you need. If you are designing or troubleshooting a design, this is especially important, otherwize you can get away with just 5x the bandwidth.
However if you are just doing lower speed hobby stuff, one can turn their sound card into an oscilloscope, or even go to some of the PC USB/PCI based scopes. Be sure to look at the independent reviews on the USB scopes, there are some really killer ones that will give you 10x the performance of a similar priced stand-alone scope. Tipically
This is decent beginner primer on oscilloscopes for the first time buyer:
http://www.radio-electronics.com/info/t_and_m/oscilloscope/buying_scope.php
I looked at some reviews of the low end scopes, people are saying the Rigol and Instek have a big problem with the interleaved ADCs that introduces copious amounts of timing jitter (if you are timing sensitive, this could be a gotcha).
If you are primarily looking for a logic analyzer, you get a lot more bang for your buck with one of the USB based devices.