Welcome! That is a pretty Alpina. I like its style. I too would be very careful about polishing it up at all. If you decide to though, there are silver polishing cloths you could use. I wouldn't use anything stronger than those, if at all, and I'd use a very gentle touch with them.
You could put a polishing cloth on the rounded end of a little paintbrush handle and just sort of "spot polish" the vine patterns and border. That might work. But I'm still leaning toward leaving it be.
This always amuses me as a wonderfully ambiguous statement. Lubricated for life? which is how long....?????
One wonders if Seiko would provide a free replacement spring and barrel if it were found to be faulty after the warranty period has expired on the grounds that a reasonable lifetime for the watch (and therefore any component contained therein) is significantly more than the normal 1 year warranty period that is usually offered, especially since in practise their watched have been shown to last 50+ years.
My company still follows a traditional of giving gifts to employees who reach certain anniversaries with them. Having been offered a choice (and being who I am) I chose the very traditional choice of a watch. Only new quartz watches were being offered, so I chose this nice Bulova. It is on its way. My father owned an exquisite wind-up Bulova and it was superb. I am curious how the quartz ones compare.