I've flown the DA20. It's not a bad trainer, but does have some quirks...like, if you go mixture full rich per the before landing checklist and then initiate a go-around, that Continental 240 will cough on you. Best to leave the mixture leaned out a bit. Also, it's the only airplane I've ever flown where sometimes (emphasis on sometimes) you need opposite rudder to stay coordinated.
I'd highly recommend training in a single first if for no other reason than cost. Beyond that, let's say you do have a pile of cash lying about: even if you did all your training in a twin from the start, and you pass your check ride at 100 hours (which would be my estimate for learning in a twin), no one will insure you in one.
Will also add my $0.02 on another aircraft to avoid. Might get roasted for this, but it's my opinion and I'm sticking to it. Stay away from primary training in a Cirrus. You need to learn how to fly an airplane, not how to use fancy avionics. The Cirrus has too much power that students can use to salvage a maneuver and form bad techniques. So rather than learning proper techniques, they don't even realize they formed a bad habit. Then they hop into a lower performance machine...no more ponies to save the day and they bend something (at best).
I think the DA20 would do just fine, but if you can find a local CFI with a 152 or 172 or a Cherokee that might be a little cheaper, that's money saved and a good decision.
PS you'll always wish you started sooner, so get after it!
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