No expert and hard to tell from the obverse pic but I would say MS-63 and the reverse is beautiful. If I were you I'd just keep the coin out of a slab and enjoy it!
Luster isn't very strong on this Morgan but that could be more from the lighting and photo than because of any defect of the coin. There is lack of definition in Liberty's hair above the forehead and ear which is probably strike-related rather than wear.
It might be a slider AU, but I'd vote for uncirculated. The scuffs on the cheek would limit it to MS-64 at best IMO; strike weakness might bring it down a notch to MS-63. At that level I don't think it is worth spending the fee to have it graded. I agree with Mr. Merc: keep it raw and appreciate its beauty. Then use the money you didn't spend for grading, shipping, and insurance to buy another Morgan!
I'm thinking 64. By 1903 the masters were pretty well worn; you can't expect huge strikes to be common among them. The marks on the cheek are of the "rub" type as opposed to the "gouge" type, and my guess is the coin looks nicer in-hand than in the pics. The mark right below the eye would be the kicker. The fields look excellent.
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