Fe gymera i…?
As a general rule, it’s usually best to provide some context to such translation requests.
But, yes, Fe gymera i … is a pretty straight translation of I will take …
If you use this, for example, while ordering in a restaurant, you will certainly be understood, although I personally would prefer
Fedra i gael …? - Can I have/get …?
or Liciwn i gael … - I’d like to have/get …
Or just … "Ga i … " If you use fedru/gallu you’re asking if you have the ability, where as cael (so ga i / gei di / dwi’n cael caws ar fy mrechdan, be’ gest ti yn yr amlen, etc.) is more like to have, get or receive.
By the way, “can I get … ?” in english … one of my pet hates. 
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Yeah I agree, “ga i…plîs?” Always for ordering
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Yes, context is the key -
Fe gymera i ofal - I will take care (=I will be careful)
Ga i baned o goffi? - May I have a cup of coffee?
We are very polite in Welsh - asking for something in a shop is always “may I have”, as Anthony said 
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Thanks for all the comments and help. I too would always prefer the polite version. I got it from a phrase book as it hasn’t come up in Course 1 or Challenge 1. I thought it was a useful one. Phrase books don’t seem to deal with N & S differences.
“Ga i…” Doesn’t change north to south either. It’s universal 
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