Be careful when applying for the LH card. I was issued a regular platinum MC card (not a World MC) with a credit limit of $5000. No annual fee, but your miles continue to expire and a tiny signup bonus of 5000 miles.
Called Juniper/Barclays to request upgrade, they would not budge. All they could offer was a review in 12 months. I closed the account right away.
BTW, I have other cards with unused credit of $50K+, so I don't know where they are getting their credit checks from. Also, note this was *before* the financial meltdown - back in March/April when they just launched the card in the US.