Need help with HTML output settings

I've been using FrameMaker for years (currently using the 2017 subscription version), but this is my first foray into generating HTML output. I am so far out of my depth with this, that I'm not even sure what to ask exactly, but here's my best shot:

I was hired to make some updates to a dictionary of terms for PDF and HTML output. I inherited the files in FM 9 and converted them to FM 2017 with no obvious errors. To generate the HTML output, I just clicked through File > Publish > Basic HTML. When I viewed the output it looked good to me and looked and behaved pretty much like the current version on my client's website.

But I've now been asked to change some things in the HTML output:

For these files, could you please change the following:

<p dir="ltr" class="FM_Dictionary_Term"><a name="HT_aaa"></a>AAA</p>

Change all p tags with the class=”FM_Dictionary_Term”  <p dir="ltr" class="FM_Dictionary_Term"> to <h3>

Remove all a tags with the name=”HT_  to just name=”aaa”  <a name="HT_aaa"></a> to <a name="aaa"></a> - Remove the “HT_

Remove all p tags with class=”FM_Dictionary_Definition” to just <p>

I recognize "Dictionary Term" and "Dictionary Definition" as FrameMaker paragraph tags used in the document. Is there a way somehow (in the output settings or something?) to make these two paragraph tags map to <h3> and <p>, respectively? Or is there some other way to fix this from within FrameMaker?

For the question about the <a> tags, I think that's about hyperlinks but can't get much further than that. There are hypertext markers within the definitions (Jump to First Page) to terms (Specify Named Destination) in the FM document. Maybe I need to use different markers? [For context, in the examples above "AAA" is the first term defined in the dictionary].

I hope there's someone out there who understands what my questions are, even if I don't.

Thanks.