Park tools are good stuff, they stand by there products and replacement is just an email with photos away.
Pedros tools are an awesome value for your money, i prefer my Pedro's cable cutters over park.
Pedros milk levers are the chit!
Get a good set of metric Allen wrenches and a good set of torx heads thats 80% of the tools that you will need.
Don't rely upon a set of dykes for shifter cables. Get a specific set of cable cutters for the job.
Derailleur adjustment isn't hard.
If you riding and it shifts into a bigger cog but not into a smaller cog (usually) you need more cable slack. its at best just a half a turn at a time of adjustment if it shifts into a small cog nicely but not into a bigger cog more tension is needed. To make Changes all you need to do is turn the barrel adjuster.
Sometimes matter what you do your shifting still sucks.
Downshift into your smallest cog and check the cable tension.
You do this by pushing on the exposed cable just prior to the pinch bolt on the Derailleur.
You want some tension with no slack.
If you have good tension and still funky shifting .
Time to examine your cable/ cable housing. A little lube on the shifter cable can go a long way.
Take your time and make small changes and remember what you changed so you can reverse your changes.
Sometimes you have a bent Derailleur hanger or Derailleur is worn/trashed.
The shop can help you with that when all else fails.
Bleeding hydraulic brakes requires a special tool leave this to the shop (for the time being)
Occasionally grab your front brake, rock the bike back and forth with your fingers on the headset cups, feel for play, if you have play loosen the stem pinch bolts tighten the bolt in the center of your stem half of a turn retighten the stem pinch bolts and recheck for play, make further adjustments as needed.
Just don't bind up your steering.
Tire pressure is crucial for both road and MTB.
Find what works best for you to prevent pinch flats (tubes) and your tires from rolling in the corners.
Any other questions ask away and we will try to help you.