DS has eczema, his basic routine is emollients morning and night, in the bath as a soap substitute and applied again afterwards while his skin is still damp. His flare-up routine is emollients an extra 2-3 times per day, hydrocortisone twice per day and an antihistamine for the itch.
I have seb.derm and manage with an anti dandruff shampoo (breastfeeding so Nizoral not recommended), Tesco works well. I use emollients on my face and apply to damp skin, with antihistamines for itching and hydrocortisone when it's really bad.
We only ever use hydrocortisone on inflamed areas and for the minimum amount of time possible at the lowest % that works. It should only be used on the face with a prescription (although I just buy it now, it's cheap enough for us but like everything else it costs the NHS a fortune on prescription).
We both use Epaderm. DS is allergic to Aveeno (although we can't work out why because he has oat milk), and I react to E45.
Emollients can be expensive without a prescription, and the emollient that works well for one may not for another, but you can get most emollients in a small pump, (which we carry around as a handwashing substitute). You could try a couple this way until you find the one that works for you and then invest in a large pump or ask for a prescription.
Epaderm, Diprobase, and Cetreben are the most commonly used I think.