The phrase 'a few bits of' is correct and usable in written English.
You can use it in order to describe a smaller quantity of something. For example, "I found a few bits of paper scattered on the ground."
This might involve getting a few bits of kit.
All you need is paper, a few bits of coal or turf, and a match.
A few bits of poor economic news of late are scarcely grounds for panic.
'There is nothing there now, Howard, just a few bits of old forts.
I asked Adrian for a few bits of ARG-design advice.
A boiled egg, some finely sliced leftover potatoes, and a few bits of cured herring.
Here are a few bits of data from their 2005-06 accounts.
I went through a few bits of darkness; drinking too much.
My mother relied on a few bits of broken english and a healthy dose of goodwill from neighbours and shopkeepers.
A few bits of grammar in standard written English are tricky even for experienced writers and fluent speakers.
The authentic dish is prepared by frying boiled noodles w with a few bits of meat and vegetables.
