Hello and welcome here is list of the basic things for a good survival kit. You can add and takeaway on your personal taste and adapt your kit to what ever terrain your up against.
1. A multi-tool
2. A knife at least over 5 inch blade
3. A military casualty blanket which is another word for bigger thicker survival blanket
4. A small metal pot for cooking and boiling water
5. 550 para-cord at least 15 feet for making traps nets and shelters
6. A cheap plastic poncho for shelters and jacket
7. A flint stick or matches for starting fire
8. A head lamp and spare battery for seeing in the dark
9. A sling shot band and ammo for active hunting
10. Iodine drops for water or water tablets I prefer iodine drops
11. Small fishing kit that includes 20 feet fishing string five or so hooks and some little waits the bait is up to you to find
To carry your kit around a water proof bag will work great or put it in one of your back packs. If you want to go cheap just role everything up in you military blanket and secure with rubber bands.