как будет по английски я люблю прыгать и бегать

I like to jump and run. I like jumping and running. I love to hop and run about. I like to leap and run.

Я люблю - I love, I like (мне нравится);

прыгать - to jump, to hop, to leap, to skip, to cavort, to spring, to caper;

и - and;

бегать - to run, to run about;

прыгание и бегание (разг.) - jumping and running.