...to sell them in batches of i.e. 3-4 watches ( working watches ) and then maybe 10-15 ( non-working/parts watches ). However, you could make large batches of i.e. 100 watches as I am sure that would generate an interest for those hardy Timex collectors
Ebay would be the first choice for selling them, but if you're not comfortable with Ebay you could contact a nearby antiques auction house ( or online ) and have them sell the whole lot for you. I would imagine that one huge lot of 5000 Timex watches would be quite a substantial auction, and you could always set a minimum price. Or divide them into 5 lots of 1000 each. Just a thought.
And Phillip: please contact me if you're willing to sell some across the Atlantic