As
@Raryn notes, there is time left over during the week. The easy things are booking flights, and other activities that can done on-line or remotely. You can do these while waiting at a red light, during other small breaks during the day, etc.
The hard stuff is actually getting to the dentist during normal "business hours" (so find one that has Saturday appts or after hours) and if you own your own home, being home for a repairman when something goes wrong.
It's nitpicky, but I wouldn't recommend doing anything like that stopped at a red light. It's illegal in some places, and as healthcare professionals even if it isn't illegal I don't think we can recommend it anyway because of safety concerns. Then again, I once injured someone while stopped at a red light (I wasn't distracted on the phone).
There are key lockboxes with a code that can sometimes solve the problem of letting someone into your home when you're not there, if they don't need you present while they do their work (and you're OK with them being there while you are not).
Make a point of getting to know your neighbors with your limited time off. I usually find the time to bake banana bread.
Ditto for building a support network in your residency - you'll find that everyone else has similar problems and many figure out ways to take turns getting animals to the vet, rides to/fro airport, etc etc.
For healthcare appts, often you can do something to work with your team or other residents to try to make them happen. I was often able to arrange the location in a way that slipping off to a provider was just a matter of someone taking the pager from me for a 2 quiet hours at the end of the day.
I called upon friends and family to do quite a bit of legwork - like finding/calling dentists, anything involving looking up Google or calling somewhere during business hours. Often you can give them access to your Amion or call schedule to help schedule. It's often easier to text with them through the day than for you to make a concerted effort about this.
Having a partner not in medicine with a more flexible work schedule (they could always get away to pick something up, mail something, make a phone call, etc) helped a ton, even though they were all the way across the country.
Sometimes my potty breaks would be just a tiny bit longer to send off texts or to make a quick call.
As far as social media, I am starting to have experience with how you can also have someone else do quite a bit to manage your online presence as well.
I wouldn't be above doing a few of the below:
Hire local neighbor kids to do some chores for you, like picking up dry cleaning for gas money.
Find a college pre-med to be your gopher in exchange for career advising and proofreading essays. Yes, you will still be trading time, but some of the issue with residency is more about when you do things, not how much time it takes. And they will often spend far more time helping you with this and that, than you will advising them, but many will find the exchange equitable, especially if you can hook them up with shadowing or some such. NOTE I am NOT suggesting that you hold out a letter of recommendation or help them in any unethical manner because they pick up your dry cleaning or feed your dog. There's a value to having an MD recommend that same kid for a dog-walking job. So leverage it to get some help from someone coming up in the world. Your friends/family could even be involved in the hunt for said gopher.
Amazon is your friend, ditto anywhere that delivers and finding places with extended hours near you. Also getting facile with skimming online reviews quickly.
