Congrats on getting the F chord down. That is one of the more difficult ones because it has the double whammy for a beginner - it has a partial barre and it is a four fingered chord. You should feel good about it.
Being able to get it consistently will come over time - just keep practicing it! Many times I find I struggle with something and when I pick it up the next day, I nail it the first time through.
Have you worked through changing to the F chord from either a C or a G? Those are common chord changes.