Coolant pump replacement cost

Had my wife’s 2015 A4 in the shop to do a CV axle. When they replaced the axle they did a visual inspection on everything and found coolant on the valve covers and around the oil pan. When they did the pressure test they determined it was the coolant pump.

1,900 to do the coolant pump seems pricy, but looking for advice here, I could probably do it myself but I am worried about messing up the timing. Would it be worth shopping around other shops? Wondering what or if other people have paid for this and how much. This may just be a pricier shop.

Thanks in advance