A song for my girlfriend

My first time writing lyrics ever. And I really want to make it special, because I'm planning on making a song for my girlfriend on her birthday, so far, this is the lyrics I came up with...

The day I sat next to you,
I knew I'd like to talk to you,
I have never felt this way,
Girl you better believe me when I say,
My love for you will last forever

[Chorus]
With our hands intertwined,
Your eyes shine bright, right into mine,
The moonlight covers the entire night,
So, hold on, I say, hold on

I would swim across frozen water,
My heart for you will not faulter,
all just to get to you,
Oh darling, I wanna hold you tight,
Tell me I'm your Mr. Right

[Chorus]
With our hands intertwined,
Your eyes shine bright, right into mine,
The moonlight covers the entire night,
So, put your hand in mine....

A nice song

One thing I would change is this line I would swim across frozen water to 'I would swim across white waters' you can't swim across frozen water its ice! Just puts an awkward image in my mind anyway...not too keen on the tell me im mr right either, comes across a bit needy, perhaps change that one. Apart from that a nice collection of words!

No "swim across frozen water" is excellent, amazing work!