There are no tax implications to sending money to yourself. You will have to report ownership of any foreign accounts in your name if they contain more than $10,000 at any time during the year, but tax is not owed.
All property taxes that you pay on personal property, whether in the US or overseas, are deductible as itemized deductions on schedule A. (You are limited by the $10,000 cap on state and local taxes however.)
And as mentioned, if this property generates income, that income will be taxable in the US. If the income is also taxable overseas, you can take a deduction or credit on your US tax return for the overseas taxes.
