First off, Welcome to SS.
One of the biggest and most important things to keep in mind when solving F2L is to make sure that you are planning ahead (meaning that your look ahead is good) so that you are not pausing at all. By the time that you are finishing up your cross, you should already see and or know where your first F2L pair is so that as the last move or two is applied on the cross to can begin your first pair right away.
And the best way to practice that is to do slow solves without timing yourself, and although you might be thinking "but my times are already slow, what do you mean by slow solves", well this is what I mean, Practice solving the whole cube without having to pause and look for a piece. During inspection you should have at least you cross planned out, and once you start the timer you should have very few pauses, ideally none, but that take a bit more practice.
Even if your times go up by a few seconds for the first few weeks of practicing slow solves, you will drop faster once you are not pausing, and the pay off is much better then just trying to get really fast in a short amount of time (and trust me on that, I did not ever think how much slow solves would help me get fast until I tried it, and once I was having pretty fluent solves my times dropped faster then when I was before I practiced slow solves).
Also, make sure that your F2L parings are efficient and watch 3x3 walk-through solves. J-perm on YouTube has some great tutorials on F2L.
Please ask more questions as you have them, and I hope that this at least is a good start for you.