I am a mortgage broker and 4.35% for a 5 year fixed is not that good right now. As long as you are a good applicant with good credit etc... you should be able to get in the 4.29% range at most.
Depending on when you are taking posession of the new house you might be able to get an even lower rate. There are a couple of lenders that have quick close specials.
You shouldn't have to shop around for better rates. That is your mortgage brokers job. That's one of the benefits of using a broker.
Let me know if there is anything I can do to help you out at all.
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