Soap is too basic (as in the pH is too high not that it's a simple product) for facial skin and really stripping. While you use tret it's really important to keep your moisture barrier intact so that acne will heal quickly and won't scar as much. Always prioritize lessening irritation and keeping your skin hydrated while using tret. 0.025 is pretty gentle, but do not underestimate potential irritation. You only need a pea-sized amount and here's a video on how to apply it. You can either apply it after cleansing or after moisturizer depending on how resilient your skin is. Never ever apply it to wet skin it will cause you to flake and peel which means you also have to wait for moisturizer to dry and sink into your skin if you plan on buffering tret. Since the percentage you were given is the lowest available I think you can probably start off with using it every other day (feel free to use it less frequently 2x or 3x a week if it's too much for you) and on the days that you aren't using tret just focus on moisturizing a lot (even if you're oily).
Cleansers:
Moisturizer: (I'm oily too and it's summer so I have a couple recommendations)
Emergency Items (for when your skin is peeling/super irritated):
Important notes: You need to wear sunscreen religiously if you go outside (I just stay indoors lol) because tretinoin does cause photosensitivity. I can't give you recommendations because everyone likes their sunscreen a little bit different (texture, chemical vs physical, tinted or not). You cannot get waxed while using tret because your skin will get ripped off. Shaving is okay and so is threading. If your acne doesn't get better but you can use tret every day without any problems then don't be afraid to ask for a higher percentage and then ease yourself into using that more frequently. Patience is key, it might take a while to see results and you might purge but stay vigilant and consistent. Tretinoin is a marathon not a race.
Highly likely it’s dry skin. So I’d try a dandruff shampoo and keep the head moisturized. Lotion is worthless. Anything liquid is worthless. Use a fragrance free cream. Use it in the morning and before bed.
https://www.amazon.com/CeraVe-Moisturizing-Cream-Daily-Moisturizer/dp/B00TTD9BRC/
Cerave Moisturizing Cream seems to be this sub's preferred moisturizer.
When incorporating tretinoin into your skincare routine, it is important to start slow and gradually increase frequency to avoid irritation. Generally, you should start by applying tretinoin once every two to three nights, gradually increasing frequency to every other night and eventually nightly as your skin tolerates it.
After washing your face, wait at least 20 to 30 minutes before applying tretinoin to allow your skin to fully dry. This will help reduce irritation and ensure proper absorption of the product.
You can then apply hyaluronic acid after the tretinoin has fully absorbed, typically after 15 to 20 minutes. This will help to hydrate and soothe the skin.
Remember to always wear sunscreen during the day, as tretinoin can make the skin more sensitive to UV rays. Start with a low concentration and gradually increase as your skin tolerates it. Also, avoid using other harsh exfoliants or actives in your routine, as this can increase the risk of irritation.
Some additional tips for using tretinoin include avoiding the eye area, as this skin is more sensitive and prone to irritation, and using a moisturizer to help soothe and hydrate the skin.
As for product recommendations, some popular options on Amazon include CeraVe Moisturizing Cream, Neutrogena Hydro Boost Gel-Cream, and La Roche-Posay Toleriane Double Repair Moisturizer.