Yes, "pick and pack" warehousing / shipping facilities will store your stuff and even put it in boxes and ship it to your customers for you. The problem isn't

Yes, "pick and pack" warehousing / shipping facilities will store your stuff and even put it in boxes and ship it to your customers for you. The problem isn't storing the inventory, the problem is owning the inventory. Ultimately, reducing inventory must go along with having a quick delivery time from your upstream suppliers...