It seems like at the beginning and end of the day I feel so close to my Father. Things get quiet and it's easiest to hear His heartbeat. That quiet time with Him throughout the day is so critical to me. It's not generally planned, but it usually includes a lot of talking together with an open Bible.
I'm working so hard to feel His closeness throughout the day as well. It's hard to get that kind of focus on Him, but when I spend the time with Him in the morning and evening, it's easier to understand His perspective throughout the day. For me, I don't spend a lot of time interceding for others during my quiet time. Most of the time I spend praying for others is throughout the day. He brings people to mind at times and I immediately rest them before Him. We talk about it together and He shows me what to ask about.
I have other tools that help me pray consistently over a long period of time, but even for those, I want for Him to guide what I request. Keeping Him close all day keeps my heart in line with His heart. I have found that I really can't pray very well for things He doesn't want. He just doesn't give me the power to pray that way. The Holy Spirit really does pray through me when I don't know what to say, just like scripture tells us He will.
A lot of people that want to intercede for others. In the end, the power to see God's work come to pass horizontally comes from the quality of that vertical relationship. This includes the desire to obey and walk in His character as dearly loved children do. It begins with a consistent pattern of seeking Him morning and evening. I can't say I'm perfect at it. I do miss Him more often than I would prefer, but the effort pays big dividends.
What can you do to make that a reality?