Hi Stylistic and welcome to WriteWords
Interesting novel. With regards publication I can recommend getting hold of a copy of Writers and Artists Year Book (often refered to as WAAYB). That contains a list of Agents and what sort of fiction they are looking for.
You'll need to put together a submission package of covering letter, first 3 chapters, and a one page synopsis. Then submit in batches of ~10 to all the agents you've shortlisted from the hundreds in WAAYB.
As a part member you can join one group and upload one piece of work. There is advice on writing synopses and covering letters in the Synopsis & Outline group, or you might prefer to join one of the writing groups and upload an extract from your opening chapters to see if it's ready for submission.
Good luck,
- NaomiM
<Added>Based on what oyu have written above, and without seeing the synopsis, I would tentatively place your novel in the Womans Fiction genre, so worth adding those agents who deal in that genre to your list.