Mine just turned one today

....and I know what you mean about them wearing you out from the walking

I've got a big family room where she is corralled, safely

I had never heard of The Little Gym, until today when I got a coupon in the mail for 50% off for the first year tuition or something.
I have had Sophia in the Gymboree play class since she was 5 months old, and she LOVES it. I do too, because they move them up to different levels based on their capabilities.
In Jan. after the holidays when things "slowed down" some, I put her in the Gymboree music class...and that really isn't for her, because she isn't willing to sit there and let me tap on her foot...or do much of the other things required to sit...she likes to G-O, GO. And, I believe it was that class that was the culprit for her getting sick...chronically...from the end of January until the middle of March, when I pulled her out of Gymboree

and church

and missed one week of swimming

...she will resume the Gymboree play class only after her birthday party and the pollen dissipates to ensure that nothing else is going around that she can catch.
Soooo, I highly recommend Gymboree. And, it also depends on who is running the class. Gymboree also offers art and music classes, but to be honest, I don't know if they are offered for 1 year olds. When they start walking and really moving around, they really don't want to be still long enough to do much of anything artistic...so, maybe that is why. I would check their website to see when the music and art classes are offered.
I also do a weekly Mommy and Me walking group...and you can check out what is local to you in your area at meetup.com.
Oh, I can't stand Barney....or Calliou (wtf kind of name is that??? it sounds Asian, but he's not)...or that other one The Wonder Pets (The Wonder Pests).