I'll by flying from San Francisco to Phoenix and then Pheonix to Palm Springs. The layover at Phoenix is just 1 hour.

Was booked through British Airways and all flights have the same booking reference.

Looks like American Airlines are operating these flights.

Will I have to reclaim and check my bags again at Pheonix? Do I need to do anything particular at San Francisco airport to ensure my bags end up in Palm Springs easily?

Thanks in advance for your reply!