The minimum relay fee is 1000 satoshi. You can select custom fees in blockchain.info. However, the lower fee you go, the longer time it may take to confirm. You need a high priority, more than 57,600,000 for it to be confirmed within 2-3blocks.
Just a little addition:
This greatly depends on the number of transactions out there and how high your priority is in comparisson to them. Each block has 50Kbyte for transactions without fee. The transactions get sorted by priority. Thus if there is a high amount of transactions with a higher priority than yours it will take a while to get confirmed. 2-3 blocks matches roughly with my experience of high priority transactions without fee, but I typcially do them over night anyway.