The problem which I see is that you assume we choose first. But scriptures indicates HE chose first:
Who hath saved us, and called [us] with an holy calling, not according to our works, but according to his own purpose and grace, which was given us in Christ Jesus before the world began. - 2 Timothy 1:9
According as he hath chosen us in him before the foundation of the world, that we should be holy and without blame before him in love. - Ephesians 1:4
And you have to deal with passages such as Act 13:48:
And when the Gentiles heard this, they were glad, and glorified the word of the Lord: and as many as were ordained to eternal life believed.
As many as were ordained? Where is the freewill here? It seems they choose God after God had already ordained them. This is how it works, man does not want nor seek (Romans 3:10-11) after God until the Lord draws him (John 6:44), then will man come and seek to be saved after God already chose and sought him.
Next, the fact that the Lord gives us commands, such as to love HIM with all, does not mean we have the ability to do so, and there is proof of such in the scriptures:
But ye believe not, because ye are not of my sheep, as I said unto you. - John 10:26
You should open your Bible to John 10:22-30 to pick up the context here. However, this verse is quite clear. They do not believe, why? Because they are not sheep. So, if they were sheep, then they would believe. The fact that they do not believe is a direct result of them not being sheep. Jesus has been giving them the commands, yet HE tells them they do not have the ability to obey them.
Lastly, lets define freewill. In Websters 1828 Dictionary, it is defined as "The power of directing our own actions without restraint by necessity or fate." The problem here is that the will of man is often restrained or surpressed. What about in scripture where man's will is surpressed so that the will of the Lord is done? What about Pharoah, God raised him up for the very purose of showing HIS glory in him (Exodus 9:16), and I don't quite think that is the kind of future pharoah every hoped for, yet it happened.
And he was driven from the sons of men; and his heart was made like the beasts, and his dwelling [was] with the wild asses: they fed him with grass like oxen, and his body was wet with the dew of heaven; till he knew that the most high God ruled in the kingdom of men, and [that] he appointeth over it whomsoever he will. - Daniel 5:21
The above verse is amazing. The most high God rules in the kingdom of men? HE appoints men to rule over them? appoints? Where is the freewill in that?
If freewill were true, then Hebrews 11:3 would be incorrect when it says:
Through faith we understand that the worlds were framed by the word of God, so that things which are seen were not made of things which do appear.
We know that "worlds" is an old english term for "ages." This verse tells us that the ages were framed by the word of God. But, if man has a freewill then the ages are being framed by the will of man.
Thus, I must say that only the LORD God has a freewill. Man does not. Well, those are just my thoughts.