When transporting a horse what does "quote" mean?

I've never hauled a horse through a transporting company before and I'm really lost. What the heck does a "quote" mean? Like when they say, "I can get you quotes from Bakersfield" or something like that.
What in the world are they talking about?
Help me! Haha.
Update: Thank you so much everyone! You were all a big help. You're all great. If I could chose all of you for best answer I would!!
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