Same technology, just compare SEERs.

I am not familiar with the Daiken equipment. Is it a single 5-ton heat pump connected to two air handlers?

Do the quotes specify thermostats, lineset, and type of filter?

How do the two installers compare? Have you researched who has better reviews, been in business longer, and will respond when you have a problem? Has either done a load calculation and if not how were the sizes determined? What labor and parts warranty are quoted with each system?

Not familiar with Daikin products but the Trane XV19 is a low profile space saver model. Are you sure this is the model you require and need?

IMO

Trane XV19

yes, we need the space saver option. live in Seattle with strict noise codes and very little space between house and lot line

I would go with Trane they have a good track record.

Did OP end up going with Trane or Daikin? And what do you think of it? I am making this decision now. Thanks in advance.

Except I am debating between Daikin Fit or Trane XV19.

We went with Trane since it was a bit less money. I wish the thermostat wasn't proprietary - you can only use their thermostat so it doesn't integrate that well with other systems (e.g., alarm system). We have had some issues with extreme variation between two floors in the same zone but that is likely a design issue, not a Trane issue. the one thing I did learn subsequently is that the Daikin reads trmps differently (through the air returns) so it might be better at regulating such variations. I can't speak to cost of running the system because we have only been in the house for a few months