I am about the same age and a few months ago decided to really focus on improving my skin. It wasn't bad but, like you, I was thinking how dull and tired it looked.
I've ended up with quite a few Inkey List items, just because it was recommended by a friend and they are a good price point to start with.
The following is where I've got to...
Cut down on sugar
Drink a litre of water a day, plus other drinks
Morning
Salicylic acid exfoliator (e.g Clinique's Clarifying Lotion which I have always loved, or Paula's Choice BHA exfoliator which I am learning to love)
Vitamin C serum (The Inkey List, 15% + EGF)
Hyaluronic acid (The Inket List)
Sunscreen
Evening
Cleanse face with whatever cleanser has taken my fancy
Hyaluronic acid (The Inket List)
Moisturiser and eye cream (at the moment, The Inkey List Vitamin B, C and E plus Olay's Ultimate eye cream)
The above has made a big difference to my skin which looks fresher and more 'alive' now.
I've also started to look at Retinol but I do have quite sensitive skin so want to do my research first.
Finally, Vogue have a series of video on YouTube in which different women/celebs talk about their skincare and makeup routines. Young 'uns and older women - a real mix. I've found it quite interesting to watch some of them.