Need advice removing specs of rust and preventing further decay

in Workshop
I got my girlfriend a second hand leisure bike at the weekend and it has some small amounts of surface rust on the bare metal parts, mainly the handle bars, seat stem and brakes.
I want to get it all shining for her however I'm not too sure about the best way around it. I was thinking maybe using a wire wool to get the rust off (though I'm worried about scratching), and I do not know how to protect the metal from future rusting.
Here are some images to help



I want to get it all shining for her however I'm not too sure about the best way around it. I was thinking maybe using a wire wool to get the rust off (though I'm worried about scratching), and I do not know how to protect the metal from future rusting.
Here are some images to help



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Posts
Wire wool will probably scratch the I wouldn't worry too much a bike is a tool for the job - keep it clean, don't put it away wet and leave it and it should be fine.
You might want to add a bit of grease to the seat tube where it's inside the frame to stop it seizing in future.
Edit - if you can get the parts off the bike of course, it might get costly if you have to fill an entire bath with coke and submerge the whole bike.
Solvol brings up aluminium to a shine as well.... https://www.wilko.com/autosol-75g-metal-polish-tube/p/0343727?gclid=EAIaIQobChMIyKvMv76e8AIVUwCiAx0dVwZjEAQYAyABEgJZmvD_BwE&gclsrc=aw.ds
It's just a hill. Get over it.
second hand non rusty parts, job jobbed.
Metal polish of pretty much any kind will get rid of it temporarily. You might stave it off for longer with some car wax polish as well, which should leave a barrier. That's what my Dad told me to do anyhow, although it might have been another one of his Sisyphean tasks to teach me life skills.
But look, it has taken 20+ years to get like that so if you look after it now it shouldn't get massively worse any time soon. Pragmatically, the investment in polish and turtle wax is about as far as you should go, unless you stumble on some extremely cheap (i.e. free) bits to replace them.
And you try telling the young people of today that -they won't believe you.
You had a kicking but I would have dreamed of just a kicking...
...and we had a Cortina estate.
I am not sure. You have no chance.
Still, if you were lucky enough to have crushed velour seats rather than vinyl like the Avenger, at least you would not need to be taken to a burns unit if you got in wearing shorts in the summer.
I was small enough to sit on the centre console in the Zephyr.
God he's dull.
My Uncle had a series of Marinas. I can't understand why anyone would have bought the second one. Anyhow, they were remarkable cars, in that they were simultaneously both green and brown.
Had a digital speedo and you can get a bike in the back with the seats down. What more do you want?
In the same league as the Land crab, the Austin Allagro and the Metro.