I'd suggest you go for own brands like Boots or Superdrug , then Garnier.
You should cleanse with maybe a lotion for your skin type, or a balm which you apply then wash off with a flannel rung out in warm water- this will also exfoliate your skin.
Both the above should cost no more than about a fiver.
You could also use micellar water to remove make up and generally cleanse. A big bottle is £5.
Do the above morning and night and STOP using scented soap- it will dry your skin.
You need a moisturiser - no need to spend silly money- look at Boots No 7, own ranges, Olay, L'oreal, Garnier.
Apply morning and night .
I don't think eye creams are necessary because most moisturisers will do the work the same, but someone will come along and say use a product wit retinol in it.
One piece of advice- use sunscreen daily, even when it's cloudy. Get a moisturiser or a separate cream with at least spf30, this is the best you can do to avoid sun spots, wrinkles, coarse skin and sagging in 20 years' time.