Regardless, you should get preapproved for a mortgage, and then go talk to a realtor. It's a potential bargaining chip that you are preapproved for "only" a certain amount, so I don't see it as an advantage to being preapproved for more than you can afford.
Definitely shop around. You can get preapproved from several companies, and then decide later which one to go with. Some will have more red tape, some will have lower rates, etc.
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