Need guidance on how to sell

I have recently come into possession of approximately 600 1933 & 1934 Goudey cards. Most would grade VG or VG to EX. Many stars, but total lot would have a Beckett Value in mid 5-figures (or slightly more).

Obviously there are some of the cards that I should probably get professionally graded (without getting on a plane, not sure how I would accomplish that). Are there consignment companies that handle these kind of sales? If so, what should I reasonably expect to pay (commission) to accomplish this?