Hi cmblanc2, welcome to CWE!
I'm currently on Lamictal. I was on Zonegran prior to the Lamictal, and the switch was done very slowly, over the course of several months. (In general with Lamictal it's important to go slowly in order to lower the risk of allergic reaction.) I had no problems during the transition, and none since (other than the side effects that seem to come with all AEDs). Transition times with meds can be tricky, so it doesn't hurt to be extra careful -- but do your best not to be terrified about it. Just think of it as being proactive. Pay attention to how you are feeling, but don't obsess. Make sure to keep your overall health on an even keel (good sleep, proper nutrition, etc.), but don't make yourself miserable. If you can take half an hour once or twice today to "meditate", that can go a long way both in keeping you calm, and in preventing seizures. You don't actually have to meditate, just unplugging, being still, closing your eyes, and breathing normally can do the trick. If you are anxious about any of the activities you mention, temporarily avoid the ones you can, get friends or family to accompany you for others, or check in on you from time to time. And it might help to keep a journal tracking how you're feeling on the Lamictal.
BTW, I live alone, and have had about 20 tonic-clonics over the last decade. Except for right after the initial seizures, I've always felt comfortable driving, biking, swimming alone, cooking, bathing, etc. (I wouldn't mind company in the shower, but that's another story

) I'm not saying that you shouldn't consider any risks while you're seeing how you feel on the Lamictal, just that you shouldn't assume that something's going to happen, or let your worries overwhelm everything else.
I haven't been on Depakote, so I can't speak specifically to the transition from it to Lamictal, but I can say that Lamictal has a good record with pregnancy. If you are considering getting pregnant, make sure you are taking a folic acid supplement, especially important if you are on AEDs.
Best,
Nakamova