@DragonSlayer 's advice is going to be more on point than mine, as she's done the same exact thing the OP is pursuing. My path and product are a bit different, but some things apply across the board. But I can chime in with some general advice.
1) Even with a publisher (small or large, really), you're going to have to market the you know what out of your book!! The following is 100% my opinion, and others will disagree.
A) Blog: This should always be focused on your latest work. Try to update your blog about once a week to keep fresh content there.
B) Newsletter: I prefer the slow and steady approach; only seeking out people who are invested in my work. Some authors do those giveaway/newsletter swap things and I think they are totally bogus because you end up getting a lot of people signing up who don't care about your work; they just want the prize or whatever. Give your newsletter folks some freebies, give them a cool name, or even let them vote on a name. Do a newsletter about once every 1-2 months, but only when you actually have something to say/give them.
C) Social Media: This should be about 20% about your books, and about 80% other cool stuff/news/links/etc you think your audience will dig. On social media, you need to be their "cool author friend." You do NOT need to be the person who spams "buy my book!" every day.
2) Keep writing! I know you might be in the editing stage (I assume that's where you are based on your post) but as soon as you finish and submit the final product, jump into another product. Heck, with indie authors, the current advice is "Don't publish your first story, especially if it's a series, until you have books two and three finished as well." People have VERY short attention spans now.
3) Make sure you KNOW what you are signing. Read it carefully, every line. Have an attorney friend read over it. Talk to author friends about what's industry practice. And make sure that you do not pay your publisher one cent! You NEVER pay your publisher for anything. They advance costs. They pay an advance. The point of you going with a small press, and thus taking a much smaller royalty than you'd get indie publishing, is that they take care of the editing, formatting, cover, etc. As
@DragonSlayer said, don't let them retain certain rights (like audio for example) very long unless they actually do something with it.
Good luck! Please post again and let us know how it's going.