I'm trying to figure out my best strategy for getting an EMV-compatible card for foreign travel. I currently have:

Chase United MileagePlus Explorer (my daily card)
Chase United MileagePlus (old, used for monthly auto-billed services like DirecTV)
Chase Slate (formerly MasterCard, replaced by Visa, never used)

What I want is a Chase Sapphire Preferred with the EMV chip, but I am worried that Chase will think I have too much open credit with them. My FICO is around 800 so I am an excellent risk and no delinquencies. I'd be happy to cancel the Slate Visa since it is useless. I originally got it as an M/C to be able to use at places that only took M/C and not Visa (yes, there are such places, outside the U.S.) but Chase unfortunately decided to convert all its MasterCards to Visas. (Grrr.)

Before researching this I wrote to Chase and asked if I could convert my MP Explorer (the card I use the most, pretty much daily) to EMV, and they said it was not offered as an EMV card, and they sent a list of Chase cards that are. It starts with the Sapphire Preferred, and then includes several partner cards I am not interested in, plus Marriott and Hyatt which I might be (although Sapphire Preferred looks better than those).

Any advice? Also, are all Chase chip-enabled cards chip-and-signature or are some chip-and-PIN?