I'd avoid an online travel agent and instead book through a Virtuoso agent or AmEx FHR if you have a Centurion/Plat charge card. One advantage of FHR is the *guaranteed* 4 pm checkout.

I've stayed in the Price Gallery (back when Bonvoy elites got lounge access, so I won't go back now), Westin, Andaz, and Park Hyatt among others in Tokyo. IMO the Andaz has the best bathrooms because they seem very relaxing and Asian in style. PG seems clinical while PH are luxurious but dated. I'd probably also more generally vote for the Andaz becasue you can't use TSUs there, but Globs are likely to get upgrades to deluxe or view rooms. In fact, I'd probably suggest booking a regular room there (without the tower view) and hoping to get the upgrade; if you don't you can enjoy the view from some of the hotel's public areas (bars and restaurants).

If you're entertaining a couple people in your room, don't you want a suite, ideally with a second half bath?

If lounge access matters, Prince Sakura Towers might make sense. However, I don't think it would be considered luxury.

BTW, IMO the Westin breakfast is excellent. The same is true for Andaz but not the PH.