Do I need to 'warm up' my email address when I plan on using amazon SES to send bulk email?

I've read that when you use a private SMTP server to send bulk emails you first need to make sure to 'warm up' the ip address associated with this server. That means that you should start out with sending only a couple of emails every time so that the email providers such as gmail will see the SMTP server as a legitimate email service and not as a spam email server. If you do start sending large amounts of bulk emails from the very beginning chances are your SMTP server will get blacklisted immediately and all the emails will be put into the spam folder by default.

I plan on sending my bulk emails with amazon SES client, using the Amazon SES SDK. My question is: Does my SES client have its own ip address associated to it and if so do i need to warm up this ip address as well by sending only a few emails in the beginning? Or do most email providers like Gmail trust emails coming from Amazon SES by default and can i start sending large amounts of emails right away?

I am planning on sending a couple of thousand cold emails that are personalized and each contain an unsubscribe link.

EDIT: I've found out by reading this article that amazon SES uses shared ip addresses by default to send both my emails and those of others. So that probably means i don't have to warm up an ip address.

I do have one other question though. If Amazon SES has already warmed up the ip address for me, does that mean i can send all of my emails in bulk or do i still need to throttle the amount of emails i send? Right now Amazon SES allows me to send 14 emails a second. Is it safe to use that send rate to send out my emails or do i need to lower that rate even further to avoid my emails getting marked as spam?

Thank you