Bear will follow me from room to room, but he doesn't need to be right on top of me. Except in the kitchen. He doesn't really beg, but always lays right under someone's feet at the table. When I get out of the shower I always find him waiting outside of the bathroom door, but if I'm only upstairs for a few minutes he waits downstairs.
Pig will not let me go anywhere without her. If I forgot something up in my bedroom? She runs up the stairs with me. Have to put the garbage out? She waits at the door for me to get back. Sitting on the couch? She'll probably be in my lap. She sleeps with her body pressed up against me under the covers. If no one else is home to watch her and I don't put her in a crate, she naps on the bathroom floor while I shower.
Recently I've been busy rearranging the whole house. Pig will often get right in the middle of a huge pile of things I'm sorting through, drop some sort of toy and look at me like, "Hey, what you're doing is kind of boring, so I brought this to you. It'll be much more fun, I promise." If her play attempts go ignored for too long or she's told to lay down numerous times she'll go off and play on her own/mess with Bear/take a nap on the couch.
Bear is much better about staying out of the way while I'm cleaning, as long as I'm sitting in one place while I sort through things. He likes to lay down right outside of the pile of things, so if I have to move around I end up having to step over him constantly.