[Dewy]

Its also "OK" to just play the top 3 strings of that chord (muting the skinny 'e' string) to continue learning songs. Later as you master the chord position it will just "sound better".

Yeah, me and my son both joke... "That "F" chord is an "MF" chord. Truth is though, its an introduction to the concept of "Barring" strings to make chords. Something every guitarist can use for any style of music.

If you divide your time between working with the three finger "fake" I suggested above, and playing with holding down the bottom two strings with your index finger (not just at first fret... but try same position up and down fret board)... the two parts will come together in no time.