My friendly suggestion is that MS-Access is not a very good platform for a website's database. In my experience the entire concept of it simply doesn't scale-up too well as the number of site visitors increase.
There are many, many ways to handle databases and so-forth for your existing website host .. and for that matter, there are many website hosts! (But to be fair, your existing host might have more rabbits they can pull out of their hats than the particular rabbits you're using right now. Ask them.)
Looking at the big picture always, choose the strategy that will accomplish the end result with the least effort. Thousands of companies around the world have crossed this bridge ahead of you. Don't build any new bridges here.