A landlord will almost always want to do a credit check on you before they will accept a deposit. They may ask for $25 to $50 to run the credit check.
They will also want to talk to you before they bother to run a credit check. They don't want to waste their time dealing with someone they don't want to rent their home to.
If you do a web search for "384 Leigh Ave, San Jose" you will immediately find web pages saying either for sale or pending.
There are many signs that this rental offer is nothing but a scam.
San Jose home values at http://julianalee.com/san-jose/san-jose-statistics.htm
Top 2 agent nationwide at Keller Williams Realty, the nations largest
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Over 1,000 homes sold in Santa Clara County and San Mateo County