Hm. With a 1-yr old that's tough. If she were older I'd suggest something like a big wheel or a small bike ... but I guess that's a few years off yet, huh?
What about picking up some workout DVDs/Videos? Prevention magazine puts out some 10minute workouts for various parts of your body and they're pretty good. I've used them when I've skipped the gym for one reason or another. And with each workout being 10 mins, you don't have to commit to a 30 or 45 minute workout ... you can fit in 1 or 2 a day as you can carve out 10 mins.
Another thing you can do is just some basic body-weight work to help strengthen and build muscle. I currently am working on the routine from New Rules of Lifting for Women (you'll see it referred to as NWOLW sometimes) - the whole routine requires a gym for some of the exercises, but a great many of them can be done at home if you have a stability ball, some handweights or kettlebells, and resistance bands - or even with just your own bodyweight. I've done crunches, stepups, planks, pikes, deadlifts with barbells, and a handful of other things while at home in front of the TV ... and while it may be more effective to work through the whole 30 min routine at one time, even doing some here and there as you can is better than nothing, right?
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