Here are some tools I suggest you have at home with you to make repairs and tune up your bike.

Wrenches, 7mm-15mm, 17mm
Chain Tool
Socket Wrenches, 7mm-15mm
Allen Wrenches, 1.5mm,2mm,2.5mm,3mm,10mm

Wheels
Tire Levers
Chain Whips
Freeweel Remover Tools

Supplies
Chain Links
Lube
Bearing Grease
Brake Pads
Cable Stops
Gear and Derailleur Cables

Bottom Bracket Tools
Spanner Wrenches
Double Ended Hook Spanner
36mm Fixed Cup Wrench
Crank Puller

Headset
Double Head Wrench 30mm,32mm,35mm,36mm
12 in Cresent Wrench