Centurion Le Mans 68 cm
 

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I've been happy with this bike. Is there anything I should think about in terms of upkeep or safety on this bike.

For upkeep, all the bearings, headset, bottom bracket, axles, should be cleaned and greased if you don't know when it was done last. Chain, chainrings, and freewheel could probably use a clean.
Safety, get some new brake pads, Kool Stop if you are going to ride in the rain.

I like the old secondary brake levers, a/k/a suicide levers, and find them useful for a lot of my riding. If you’ve been using the bike a while, you've probably already done this, but get familiar with how the bike responds to braking on each set of levers, preferably enough so that you internalize when to switch down. And of course, better pads are never a bad thing.

How long have you had the bike? Are you the original owner?

Just from the looks of it, that bike needs a cleaning from the top down--and I mean a deep-clean--remove the chain and degrease; deep-clean the rear cogs and chainrings. I'd definitely consider servicing all bearings as suggested. Probably could use new cables too. Definitely new brake pads. Maybe new tires--again, it's hard to tell if they're dry-rotted from these fairly blurry photos.

Thanks for the advice. I bought it a few years ago from a New Jersey bike dealer, "Zach" who operates out of a UHaul unit. I have no problem with grease and grime, rust is the primary threat to the longevity of bikes and mine has been in a low humidity apartment except when I go out and take a 10-30 mile ride. Probably the brake pads should be replaced as needed.

That's unfortunate. That bike deserves better.

I'd like to clean the tires for aesthetic purposes. I'd like to use some chain saw bar oil which I have to make sure the chain is properly lubricated.

One problem in our consumer driven society is people are led to feel anxiety if everything they have is not in tip top shape, or new, or fully "tuned up". Some of the expensive shops around here are constantly playing on feelings of inadequacy, trying to sell $150 tune ups when the bikes are fully functional and not worn out. I can do most of the work myself that needs doing.

:bang:

Don't blame others if you are feeling "anxiety." You asked about "upkeep or safety" but it's clear you don't care about upkeep.