First of all, welcome to Rootschat.
Ballymoney area is lovely (although I may be biased). Ballymoney Museum is closed at the moment for refurbishment as far as I know although they don't really have much in the way of family records. What they do have is online at
www.ballymoneyancestry.com although the site can be difficult to navigate.
Coleraine Library, Queen Street, has microfilmed copies of many Co. Londonderry and Co. Antrim church records- purchased from PRONI by Coleraine branch of North of Ireland Family History Society several years ago. Church records may
not be photocopied. There are a few microfilm readers and usually at least one broken so it's best to ring ahead to reserved one if you know when you will be there. The staff are very pleasant but unfortunately have little or no knowledge/training of research and all the records they do and don't have.
I have a list of the church records Coleraine does hold so if you know which ones you are interested in let me know and I'll check for you.
Coleraine Library also has microfilmed copies of loccal newspapers, including Ballymoney Free Press. You can photocopy them.
I have BMD index for Coleraine Chronicle (1844-1869) and Londonderry Sentinel (1829-1869), along with other local records.
Also various things like Griffith's Valuation (although one volume seemed to be missing last time I we to look for it).
If you are looking for 1901 census you have to go to Ballymena Library to look at that (they have Co. Antrim and Co. Londonderry reels).
1911 census for Co. Antrim is supposed to be coming online in October from National Archives, Dublin site.
For tourist suggestions- Giants' Causeway and along North Coast, Bushmills Distillery if you want to tour the brewery .
If there's any particular information you are looking for let me know and I'll try to help.