You will lose the window indexing if you disconnect the battery, so leave door open or lower your windows an inch before doing that. The re-indexing procedure is in your manual, very easy to do.
Often, the TPMS will show 0 psi on your tires after battery disconnect, just drive for a few minutes and it comes back on.
Using a battery charger with the battery disconnected is said to possibly over-voltage the system and cause damage, so I would avoid it. A battery tender might not have that problem, but still...
The only things you normally lose are the window indexing and TPMS, very easy to "fix" so I don't mess with anything else.
Enjoy that car!