I started taping because, like you, many shows that I went to were not being recorded. Started with a Sony miniature stereo mic and an MD. It was good enough. Then I got some Studio Projects C4s and a UA5 then onward and upward from there.
Get the Avantones and run them into the built in preamps on the DR60. You will be perfectly happy with the quality and it will be a good sounding rig for a beginner. You still have a good bit of expense for other stuff you will need - stand, cables, batteries, mounts - the list goes on. When I first started I bought a large part of my accessories as a package deal used from someone who was getting out and saved a good bit of money.
Getting a rig like this will give you a chance to experiment with placement and mic configs and dial in the type of sound you are looking for. With interchangeable capsules you can try different stuff in different rooms to find out what you like.
I got the upgrade bug early on - I've always liked trying new things - and went through several brands of mics. I ended up liking three brands that would be considered low to mid priced the most and ran them for years - Peluso, AKG and ADK TLs.
Nowadays I like my modular active systems but it took me roughly 13 years of recording (and running full bodied mic setups) to finally pull the trigger on a pair of Schoeps MK41s (which I could only afford because I bought everything used - picked up a package deal and sold off what I didn't need) and I really like my MBHO subcardioid capsules for just about everything else.