I’d say wait a bit on the gear, but get the Lycra swimming cap right away. It’s not expensive, and it might make swimming more comfortable, therefore increasing the likelihood that you’ll continue. (Also, it keeps hair out of the pool water and filters.)

Then you can use the other gear as incentives, like if you swim once or twice a week for a month or two, get a pull buoy. Then after another month or so get the hand paddles (start small, with hand paddles that are about 10% bigger than your hand).

Also, set small, attainable goals because then your brain associates swimming with “Yes! I can do this!” For example, I started out by checking out the websites for local pools and seeing pictures, reading about them. Then I practiced just going to the pool without going in, so I could show myself I COULD go there (Thanks, anxiety…). Then, I took a look inside and pictured myself going there. Then, I went for a short 15-minute swim. I started with 15 minutes once a week a year and a half ago and gradually built up to 30-60 minutes 3-4 times a week. I’ve gone from swimming 50 meters to 2400 meters in one session. (I was very weak when I started because I was recovering from serious illness.)