Welcome to GJ....stick around....tons of great guys here along with a lot of info.
The good news is, you're running conduit. Which is really the best way to do it.
So, all you need to worry about is what goes in that conduit.
THHN/THWN.
THHN is your standard and most common stranded wire. THWN is THHN wire rated for wet locations....like conduit under ground. Most of the THHN you buy now days is also rated THWN.
So, go to HD and buy the wire....3 colors....black, white and grn....or bare copper.
Your next decision is what size.
Tell us how far and how many amps you want to move and we can give you the size.
Also be cognizant of the fact you will need 2 ground wires at the garage....and you do NOT tie the neutral to earth ground in your sub panel.
Speaking of sub-panels....if more than 6 breakers, then you need a main disconnect breaker. Plan accordingly.