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From a scoring standpoint, it would be better to have the longer history. With that being said, even if closed the account will still report for about another 10 years. Limits only matter in regards to your utilization. Some believe that they make a difference when it comes to future approvals, but I have gotten large approvals with only smaller limits reporting. Is it the Master Card version? If you don't really have a need for a larger limit with them, I would just wait it out and save the inquiry for something that may be more useful for you.
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I would just leave it alone since you are looking to purchase a new home. A new account would lower your average age of accounts and would most likely drop your score. The limit really has no effect on scoring. For optimal scoring you just want a balance to report on one card between 1 and 9%. The general rule of thumb when looking to purchase a home is no inquiries for at least 6 moths prior to applying.
If you close the card and open a new account, I would speculate that they may delete all reporting of the old account.
That would eliminate any need to update anything on the account.
If they chose to delete the old account, you would lose its age.
I would not risk loss of the age of an 8 year old account over an increase in credit limit.