Wonna, Let's try and answer your ORIGINAL question! Either/or for a beginner, you ask. I'd say the Analogue Discovery is a useful lot of electronics in one little box, it's at a bargain price and it will suit beginners well. It does things that some more expensive 'scopes cannot, but then the reverse is also true. I own BOTH, and find uses and needs for both, but then I am not a beginner.
Sure, it doesn't go from DC to light (no, wait - it does go from DC!), it doesn't go down (well) to very small voltage levels, and it doesn't do fancy triggers or advanced protocol decoding. I have other gear when I need to do those things, and these aren't what most "beginners" actually begin with, anyway. It also doesn't put out the cat (wife's job), or remind me when her birthday is coming up (wife, not cat). But it does have a very serviceable signal generator, and the buit in (low current) power supply is just fine for powering your little two-chip project.
Yes, the interface connector is a bit "budget", and I too recommend the BNC break-out board. You won't find this little board in many "professional" electronics workshops, but as a first "lab in a box" I reckon it's neat. In a few years' time, you'll know whether you want to trade up to a decent 'scope, signal gen and power supply.
My 2 Volts' worth.