Long story short, you can't go wrong either way if the Lecroy is in good shape.
If you need 500MHz you can't do much better than $150 - if the scope is working and continues to work.
If you are primarily learning and don't have any particular use case in mind (in which case you are unlikely to need 500 MHz or maybe anything over ~100 MHz), then a modern digital scope might be more reliable (less prone to breaking or drifting out of spec) and the digital scope will make your learning curve easier in some respects (but not all). There are lot more features that will make it easier on the digital scope to help you with measurements.
If you start with either scope, there is a chance you will wind up with a second scope. If you buy the analog scope and you really enjoy it, there is a chance you will decide to purchase a digital scope - and vice versa, your 2nd scope might be an analog scope just to see what the enthusiasm for analog scopes is all about.
A new digital scope might cost 2-3x (or still more) than $150 so it somewhat depends on your budget.
If you go with the 9354M you will get 4 channels. Lots of people here will tell you that you need or really should have 4 channels. My personal opinion is that for most beginners 2 channels will keep you busy until you learn why you might need 4 channels, but it can't hurt and sometimes can help to have the extra 2 channels. With a digital scope the extra 2 channels will cost somewhat more than 4 channels (not a lot, but more).
I think you could make a case that if the Lecroy is in really good condition the $150 is about as good as you are going to do for 500 MHz and 4 channels. So if you start with that and you are still enthusiastic you can then add whatever the best entry digital 2 channel scope is at that point; or by then you might see a reason to pay more for something beyond an entry digital scope (for 4 channels and/or more bandwidth, or other features).
Either path is fine, but you should expect that if you REALLY enjoy using an oscilloscope your first oscilloscope won't be your last oscilloscope. There is a saying around here that you haven't reached Par until you have 19 oscilloscopes.
As a person who started with an analog oscilloscope and now has 3 analog and one digital, if I could only have one I'd put all the funds from the four into one very good digital oscilloscope. Having said that if I had done that from the start, I'd have missed a lot of learning and enjoyment from the 3 analog scopes. I think this is slightly backward and for most people one good digital plus a sufficient analog would give you the capabilities and experience to cover 95% of all likely use cases. FWIW, today I use the digital scope about 70% of the time, one of the analogs about 20% of the time, and the other two analogs about 5% each - and the digital is the lowest bandwidth of the bunch (but it's nice to have high bandwidth when you want/need it so adding the Lecroy to a two scope bench can make good sense, IMO.)
Bottom line: if you are pretty sure this will be your only oscilloscope get a digital scope. If you are pretty sure you are going to end up with more you can't go wrong with either approach: digital first or analog first. If the Lecroy is for sure working properly and you have space for it and later for a second more compact digital oscilloscope, then it's perfectly fine to start with the Lecroy.
Let us know what you decide and how it goes.