Superficially and at a glance, your prayer, spouse, reminds me of certain prayers where we offer to God His own merits. But it is actually evil, in my opinion, and here's why.
In a certain sense, when we praise God, it is God praising Himself. It is only by God's grace that we are able to gain enough insight into God to be able to praise Him properly. I often think about how, when Christ quoted the prophets, He was really quoting Himself, since the prophets spoke through God the Father, who is the first person of the Trinity just as Christ is the second.
That is why He said "You can do nothing without me." It's not an insult; it's a flat fact. He created everything, all matter in the universe emanates from Him, as does heaven itself, which I'm guessing has no physical matter as we know it. Without His grace, we are blind, unable to praise God or love God, or even to truly love ourselves, since how can you love yourself while denying the one who created you for eternal bliss?
But there is something else to take into consideration -- free will. None of us really HAVE to praise God. We WANT to. That is how he knows our love is genuine. And God is extremely possessive and demanding when it comes to our love. You see this constantly throughout the Bible: God is a jealous God, if you love your father or mother more than Him you aren't worthy of Him, the commandment above all commandments is to love God with your whole heart and whole mind, and so on. He not only wants our love, but He demands it; if you don't love Him enough, He'll send you to hell.
We cannot praise Him unless He gives us the grace to do so. But we can also reject that grace. Those who don't reject grace, who have faith and who do His will, therefore, become sons and daughters of God. And these sons and daughters of God, to varying degrees, pour out praise upon Him, because they are so thankful for what He did for us on the Cross, offering us the possibility of eternal life. This praise is totally genuine, it comes from true appreciation, from free will.
This is why that prayer is so dangerous, spouse. It really does damage to the free will by which we choose to praise God -- which He LOVES. He created us for exactly that reason! All who are in heaven praise God continually, through music even. He doesn't say "Shut up, I'm trying to praise myself and you're annoying me with that racket."
That prayer of yours sounds like false humility, really passivity and non-action, an error which you may have a tendency towards, spouse. There's something negative and masochistic about it. We are here to actively serve God. When God says "You can do nothing without me," He doesn't mean "You can do nothing so just give up." He means "You need me to do good works because without me you wouldn't even know what good works are."