Interesting, hadn't heard of Lily Dazzler - seems to be a new ground cover lily which increases. No idea if it will be rapidly invasive or not, shouldn't think so, the bulbs have to make offsets to increase, and I'd imagine they're not difficult to dig out if you have too many or it spreads too far.
As for winter daisy, no idea what that could be, you need the proper name, or a name that everyone knows - I even googled winter daisy, nothing, well, not about plants anyway.