All cash purchase or should I get a loan?

[Happy Sohi]

Hello Folks, 

I am interested in purchasing a home and am trying to figure out if I should purchase it all cash, and then refinance after rehab, or if I should get a loan.  This is an investment property, and I thought since I have the cash, I can benefit from an all-cash purchase and hopefully get a lower price.

My questions are:

1) Does it make sense to buy with all cash, and refinance in a few months, knowing i will pay closing costs twice?

2) Is it more difficult to get a mortgage on an investment property even though i would own it free and clear?

I do not want to tie up all my money in the investment, so I will definitely be getting a mortgage on it, but I want to get the benefits of being a cash buyer.

Thanks!