Is there lots of romance in this?

In my opinion, the romance in this is subtle but you can definitely sort of tell its there .
There's hints of it through out.
I hope this was helpful (=・ω・=)

Well, there are a lot of implications. In the later chapters, there is a spike of jokes and gags on the topic. Those are usually kept short. However, it is a very good manga overall. As long as you don't have a phobia of sexual/adult themes and jokes (Usually done obviously but not irritatingly -As a woman I think it's okay) you should have a good time with this Manga.
If you are, however bothered strongly by those things then there is another one: "I reincarnated as a slime" (or something like that) that tones down the fan service and jokes along those lines quite a bit. It's definitely there, but it is done a bit better.
Sorry for long reply, and keep in mind I am simply a fan of manga and not a critic or reviewer in any form. Merely trying to help.