vim equivalents:

20g line number

/ find what you are looking for

same for pgup and pgdown

i think what you're describing sounds a bit like visual mode which is just v

d and p for cut and paste if moving stuff around needs to be done (dd for whole line, 5dd for 5 lines, v and then j a few times in visual mode before d or y for yank (copy), etc...)

Note how you don't have to strain your pinky to hit ctrl for any of these?