Honestly, to get faster, continue using your current method. The only thing that may be of concern is your last layer - depending on your method it could be slowing you down quite a lot.
You should easily be able to get your F2L to around 40-45 seconds, but that takes a lot of practice on your part.
As I say, continue using your method and familiarise yourself with the cube, you probably feel very confident with it at the moment but be patient and your times will decrease.
If you want to know where to find a good Beginner's Method then try searching for 'BadMePhisto' in YouTube, of course we don't know what method you currently use exactly so it may not be relevant to you, but BadMePhisto does still have a good method anyway so it's worth watching!
I personally did not change my method at all until I was solving at below 01:20 very consistently, at which point I learned Two-Look OLL and PLL.
KeyHole:
As seen below 'teller' has posted about 'keyhole', 'AvGalen' here on the forums has a video tutorial about it on YouTube and a certain Dan Knights has one also. I used this as a stepping stone between Layer by Layer and Fridrich F2L, I would personally recommend it as it is not difficult yet also relatively efficient.