I had my sleeve done on 11/8. But I too just signed up for the local gym and met with a trainer this past Monday. He was pretty emphatic that I not go on the treadmill because I have a pre-existing back injury, so the routine that he gave me is three days a week at the gym and two days at home with an optional day at the gym *if* I want it.
So Mondays are resistance training with a 10 lb. kettlebell doing squats, a 20 pound weight bar doing overhead lifts from the waist and underhand lifts to the abdomen from the bottom of my arms (letting the bar hang in my arms, then pulling it up and into my abdomen).
Tuesdays are working with PT bands at home or going for a walk
Wednesdays are riding the recumbent bike at the gym, using the ZombiesRun app (it alternates pace and will speed up for 30 secs or so when you are being 'chased' by a zombie - I highly recommend it) and my Spotify Playlists.
Thursdays are working with the PT bands or going for a walk - whichever I DIDN'T do on Tuesday.
Fridays are pools days for aquatic classes - Water aerobics, strength training in the water, whatever class I choose.
Saturday is my optional day - I can go in and do the Resistance Training or the Recumbent Bike, while my son (7) attends the FitKid class which he likes.
Sunday is off, but my husband and I like to take a walk or take the kids to a park, so there's still exercise there.
My surgeon and my trainer are of similar minds - if you aren't walking out the door saying "I'm going to the get my exercise," then you aren't going to exercise. It's made me super-conscious of when I'm trying to get exercise and when I'm not, and allowed me to start habits pre-op (walking and riding the recumbent bike in my apartment's little gym).
Hope this helps,
~Meg