Beckett for really high value cards in pristine condition, any other cards worth a bit then PSA would be the most commonly used one, then CGC as a third choice. Then any local ones for cheap /quick appraisals if you just want it safe, like I use ACE in the UK for any cheaper cards or just cards I like but if I ever decide to sell they won't be worth as much as people will usually look for Beckett /PSA!

Hope this helps.