Inputs of 1 Bitcoin with 144 confirmations (~1 day) typically have a high enough priority to be used in a transaction with a single output to be confirmed in a reasonable amount of time without the need of a fee. If the input you want to use is smaller you have to wait longer for the priority to be high enough. E.g. 0.1 BTC take 10 days, 0.01 100 days, etc. Keep in mind that this is no guarantee as there is only 50KByte reserved for transactions without fee in each block.


tl;dr: have >1 BTC or wait a long time.