Generally when you have a little bit of a buffer built up regarding supplies, it’s always smart to do some reading. Although it’s always smart to think ahead about the future and becoming (semi) self sustaining…
Also if you can get your hands on a screwdriver and hammer, your best bet is to remove most furniture (except the top right console!) and start boarding the place up so that there’s one way in and out and you won’t have the odd zombie flail itself through a window and have him piss on your carpet.
A few useful survival supplies are…
Knife, Screwdriver, Hammer, Funnel(s) (for water!), pot’s or other utensils with boiling/cooking, bottles, brazier (for indoor fires that won’t burn the building down).
Also useful are leather patches (gained from cutting up leather items), which can help you create makeshift funnels (for water), and also with a few tailoring levels allow you to create useful and durable leather items like armoured gloves, which are durable, warm, and have low encumberance.
One thing you should never do is eat uncooked meat/bones you harvested from animals, nor should you ever touch tainted anything… Also be sure to drink CLEAN water and not just ‘water’, because the latter can make your survivor very sick.
Finally any clothing you find be sure to use a few sweaters and other warm items as makeshift ‘blankets’, you just dump them on the tile you use to sleep and your survivor will use the items to keep him/herself warm at night, which goes a long way in getting rested and not getting frostnip/bite.
Another unrelated ‘tip’ for someone that’s new to the game, it helps a lot to just watch others play the game and show you the ropes in basic surviving. So if you just need some visual assistance, you’re best off finding a reasonably current Cataclysm DDA lets play/tutorial on YouTube, it’s how I first got into the game and also learned general useful ‘tips’ on making it far.