If you change escrow agents, make sure you amend the contract to reflect the new title company. You may also need to change the closing date as well to allow the new title company to get the new commitment to you. There are additional contractual issues you would want to address if you make this change though.
The new title company would likely need to do a new title search.
Probably no charge in most cases, but they've done some work and gone to some expense now, so I think it would be fair to pay them something. No idea what is fair, as I have never done this or had a customer do this.
I'd ask the escrow officer you are working with.
Also remember the title company is specified in the contract, so you would likely need the agreement of both parties to change.
NOTE: Some real estate transactions go smoothly others can have issues. You don't work for the title company do you know why there was a delay. Perhaps they had to wait for a party to respond to their inquiry and demands.
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I have never had problems with any of the Title companies in Houston, but as along as all parties (buyers, lenders, sellers) do their due diligence, then no problems should arise unless there is a cloud on the title of the subject property.
If a Seller has already pre-opened title on their property, then whatever title problems should have been handled already.