I don’t think there is any particular time when it is best to pray (though I find that praying just after 8 AM, you get fewer busy signals just kidding). When I wake up, I offer up three Hail Marys for purity, and then a handful of prayers throughout the day. I find that my favorite time to pray directly to God is when I go to Mass every day (well, 6 times a week). I just am in that mode when I go, more concentrated than the rest of my day. Then, after I pray the Rosary, just before I go to sleep, I make God the final thought of my: it really depends on my day, but I’ll thank Him for it, or offer up something that is bothering me, pray for various people that are important to me, or even vent to Him (He is one of the best listeners, and I always feel better the next day). I just think that when I end my day, it is best to say something, to let Him know I’m always thinking about Him, asking for His help.
That is just what works for me. I also find that during the times in my day that I’m feeling the strongest or the weakest, I throw up a quick pray that fits the situation.
As for the Bible passage, lemme read it and get back to you.