I've got 7 tips for getting you item kick started in Best Match, some of which you may be able to use depending on which eBay site you list on:
1) Featured First
Featured First is the only sure fire way to the top of search results but it’s going to cost you (£44.95 for up to ten days, £134.95 for up to 30 days for eBay UK). Featured First is a great way to buy exposure but, as it’s success starts to be seen, more and more sellers are starting to use the listing enhancement.
If you’re one of just two sellers to use Featured First in a category then you’ll always be at the top, but as more sellers start to use the feature you listing will appear in a rotation and the exposure starts to fall.
This is a feature that should only ever be used once on a listing with good run rate, and then recent sales should be keeping you at the top of search. However, for slower sell through rate, high value items, Featured First is definitely worth considering on an ongoing basis.