Chainring Replacements - does # of gears matter?

Emphursis
Emphursis Posts: 124
edited December 2015 in Workshop
I have a Carrera TDF I use for commuting, and after 6000 miles the chainrings are getting pretty worn. I have no idea which budget Shimano set they are.

My problem is, the only suitable replacement I can find (FC-2300) only has the 39T available, the 52T is sold out or discontinued everywhere.

So, would it work if I swapped the entire thing for this (http://www.ribblecycles.co.uk/sp/road-track-bike/chainsets-chainsets-road-shimano-sora-double-3550-9-speed-chainset/shimchar491), which says its for nine speed bikes, while mine only has eight. If I swap it for this, will I need to replace various other bits and pieces like the derailleur/shifter?

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