I don't have the link handy, but there is at least one good thread here that details the steps. For a home built in the 70s I would peg your odds as not great, but your first step should be checking the breaker for the outlet's circuit--if it's already 20A, then you should be good (assuming your home was built to code) but you can verify the wiring gauge by shutting off the breaker and pulling the outlet out of the wall so you can see the wiring.
The upgrade for my mom was about $20, including an outlet tester that I bought to check my work afterward. I literally just had to buy a 5-20 outlet, shut off the breaker (which was already 20A), verify the wire gauge, then remove the old outlet and screw in the new one.
There are other options that could work depending on the setup of the garage's circuit(s), including 6-15 or 6-20. Do you own this home? If so, your best bet might be to hire an electrician for an hour to do a quick inspection and see what they suggest. My main point is that given your relatively low weekly mileage, you don't necessarily need a big upgrade all the way to a 14-50 or something to get by. A 5-20 would go a long way. If your electrical panel is in the garage, it may very well be a cheap upgrade even if you can't just make the 5-15 to 5-20 swap like I did.
My mom's car is a 3, but it moved from around 4 mph to 7 mph charge rate with the 5-20. Tesla has a chart
here, but it's very conservative. In 'normal' weather, you should beat those estimates. In very cold weather, a 5-15 will largely just maintain charge level.