There is so much choice in running shoes. Find something that is comfortable for you. I hope the shop will help with that. Some shoes are not at all waterproof as they actually have holes in them (for ventilation). If you are likely to go out in all weather then this may be a consideration. I've been using Allbirds for a while. They are more sustainable than most brands, but can be expensive. They are good enough for what I do.

Take it really gently to start with. The Couch to 5k programme may be a good option as it mixes short bursts of running with walking to recover. You have to build up stamina to run longer distances. If you can find a local running group then it may inspire you.

Enjoy it!