When I was first learning to FMQ, I found that using variegated thread helped hide any boo boos. Lines that aren't quite as smooth as you may want themto be won't even be noticeable. I agree with what others have said about not doing your first FMQing on that quilt especially since you want to give it as a gift. Also, if you will not be using a machine on a frame, it would be much better to start on small quilt sandwiches and work up to something bigger.
Keep us posted and good luck!