For a cheap, easy to get intro to acids then look at the Clearasil ultra rapid action or 5 in 1 pads (for salicylic acid), or the nip and fab glycolic fix pads. If you find you like the effect then you can move on to higher strength/better quality products - Pixi Glow tonic is a poplar everyday glycolic treatment, and I like Paula's choice for salicylic and for their weekly overnight glycolic peel.
Cleansing wise, I tend to use a mix of things but I've recently started using the Liz Earle hot cloth and it seems to agree with my skin. I also use Clinique take the day off balm first if I've had heavy-ish make up on.
Serums, I have a few but I'm currently tending most towards either this vit c one from Amazon or a bare minerals firming one which I picked up in TK Maxx! I also got a lovely Strivectin night retinol treatment in there which is use most evenings.
I also sometimes use a face oil at night, Clarins lotus oil is ok but I got the last M&S beauty box which had some Nuxe Huile Prodigeous in it which seems to work for me.
I'm not that picky about moisturiser!
My current routine - which has cleared and balanced my skin but which I'm sure will break some skincare rule or other - is something like this:
Morning:
-Wash face with either Ren cleanser or Liz Earle, maybe once a week I use the Liz Earle exfoliator instead.
-Acid Tone with salicylic, either clearasil or Paula's choice depending on laziness!
-if my skin is feeling a bit dry I also give it a spray with La Roche Posey Serozinc
-apply serum - Bare Minerals mostly but I have a few others floating around too
-moisturise - if I don't want SPF (yes, criminal I know) I use the Liz Earle one for combi skin. If I do want SPF I'm currently using Bobbi Brown CC Cream
-then make up - I use a primer if I need my makeup to last well, but I don't get on with the ones with lots of silicon in them, they just don't do anything. Paula's choice do a mattifying lotion which is nice, and I also have Hourglass Mineral Veil on the go (pricey, but I bought it for a special occasion)
Night
-Remove make up - Clinique take the day off
-Cleanse - Liz Earle hot cloth
-toner - Glycolic of some variety, either nip fab pads, pixi glow or once a week Paula's Choice
-Serum - vit C one
-Retinol
-Mostly I don't use moisturiser after the retinol as the one I have is quite moisturising anyway.
-pat on a little face oil
Ad-hoc
-Mario Badescu drying lotion - I apply this at night the second I see the hint of a spot even thinking about forming.
-Lush Rosy Cheeks face mask - lovely and calming