This was a mentioned, but subtly key point: He wasn't able to turn away the movers due to a rigid move date. (Details unspecified; it begs the question of what would have happened if the movers cancelled, or were unable to get it done in a day)
If you're switching apartments in a city, you usually don't have much of a choice.
Your lease ends at the end of the month, and your new lease starts the next day, and you negotiate a day of overlap. And you sure as heck don't want to be paying rent on two places for a month.
Can you say more about this? I've never retained an attorney, but it's a skill that I would like to have. What is this process like, to get their services for a short, bounded engagement? How do I get started finding an appropriate provider?
Find 2 or 3 that are close to your home (It's nice not having to drive 30 min across town to sign or pick up documents) then give each of them a call.
Most will offer a free consultation to hear why you need their services, they offer what they can do for you, or maybe recommend a specialist.
Then they'll tell you their billable hour rate, or retainer fee* for something larger (probate court takes months) to get started.
If the price is right and you feel good about this attorney, then you're all set. Easy and worth every penny.
Reviewing contracts is probably one of those 30 or 60 min deal that might cost you $200-400 depending on their billable rate, but spending $14k on a mover, $200 is a rounding error.
Applies to everything
You're paying them to scrutinize the contract and let you know how to protect yourself if there are shenanigans. One very common tactic is to take your money, move your stuff, but hold it until you pay more money that wasn't in the contract.
I recently learned that the company I work for incurred a delay on a quarter million dollar shipment of computer parts because the courier didn't know we took deliveries on the weekend (normally we don't but for $250k of stuff headed straight for production we did). I said "next time use airport to airport shipping" to cut out the courier altogether. What's another $400 on top of $250k? It's common sense to me.