portfolio lending on first property

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I am looking for my first property in Chicago. 

To my understanding, conventional loans have lower interest rates, but you max out quickly your capacity to use conventional loans. With the idea that I'll need to go the portfolio lender route further down the line, is there any benefit to starting with a portfolio loan? or should I start with the cheaper conventional loan? Or should I start with a conventional loan at a portfolio lender to build the relationship AND get the better terms.