A lot of us are currently doing the "New rules of lifting for women" which is an awesome book with an awesome program.
When I first started lifting many many years ago, I did have a personal trainer but then I gave up lifting for a while. Then when I started again later on, I didn't but I basically read online about splits and different weight lifting regimines. We have some stickys in this forum that you might find useful.
I generally like to lift 4-5 days per week but the NRLW has a 3 day per week program.