If they are for sets you have no plans to use decon them just keep in mind the older pre Summerset gold rings/necklaces won't let you deconstruct them. Don't know if that is getting changed with the update or not haven't looked into it that much.
Other than that store what you want to keep but are not using anytime soon in one of your alts inventory's to free up your bank and chest storage space for stuff you more likely to make use of frequently.