I sent 10 Morgans through a dealer at $45 each to be graded and slabbed last October. Who got how much I don't know.
When I go through a dealer, my slabbing costs have been $30-$50- depending on value for insurance purposes. The tpg. Websites have dealer locators to help you find a willing shop to help you out.
Hi- I think the coin is a low VG condition and I believe it is worth $700-$1000. Lots of fakes in this date so moving it for what it's worth will likely require it to be in a holder. All I can see preventing it from being numerically graded is that rim bump at 12 o' clock. Since your coin is circulated there is no reason to send it to PCGS or NGC, go with the cheaper ANACS. Refutable dealers won't argue that ANACS is capable of proving a genuine state and details grade. You'll get a much faster return and better service imo.