When I make cold brew I tend to use a filter bag, makes cleanup a lot easier. While I would love to go on a tangent about sourcing local specialty coffee & grinding just to your dose to keep your beans fresh, those don't matter quite as much for cold brew as they do for espresso & pour over. What really matters is if you enjoy the end result, so if there's anything that you don't particularly enjoy about your cold brew you can determine the root cause & adjust accordingly.
If you've got drip coffee filters, I would just pour the final brew through a drip coffee brewer and into another vessel (provided that you have a large enough brewer). It might take a bit longer than the steel filters, but the resulting cold brew is extremely clean tasting and you won't have to buy an additional thing to store.
Pretty much any cloth "cold brew bag" will do. There are metal tea infuser style ones that work as well, but personally I prefer the result from a cloth filter over metal