Scratch,
The base is typically in a manilla envelope in the box. If its missing it is a Weaver T-09. Any gun shop should have them for $4-$6. Leupold also makes a nice base for the 10/22 but its cost about $18 and the rings are $25.
As far as scopes, look through as many as you can. What works and looks good for one person may not work for you.