So. . . there is this idea some folks (wrongly) hold that poetry is some sort of fancy-schmancy-lovey-dovey drivel. I suppose it COULD be that if your idea of love poems was based on a very surface understanding of poems such as:
^^^Here we have, arguably two of the most famous "love" poems ever written and, yes, they could be described as "mushy" if a person lacks the emotional capacity for understanding the depth of feeling a human is capable of (or. . . if they just don't want to be bothered with giving it a lot of thought).
BUT
There are so many different ways to express love and attachment that poetry is the ideal vehicle for doing so. . . with some, in my opinion, spectacular results. Take the following poem for example:
Fun Fact: The guy who wrote this^^^ married Elizabeth Barrett Browning who wrote, "How Do I Love Thee." Kind of makes you wonder. . .
Just in case you want the spoiler without reading the poem, the speaker wants his love interest to stay with him and never leave so. . . as one would do. . . they strangle Porphyria with her own hair!!!! What we have here is a brand of love that is dangerous (obviously) and obsessive (also obviously) to the point of homicide. Is there more to this poem? Well, yes, if you want to dig deeper but a reader can also consume this for pure entertainment and "eww" factors. Definitely NOT lovey-dovey.
Another famous "EWWW" love poem is Poe's "Annabel Lee"
The "eww" part is really in the last four lines. Before that, the speaker (poor guy) is mourning the loss of the love of his life. That's pretty normal. Sort of mushy. But then he has to go all low-key necrophiliac and crawl in her sepulcher?!?! (What I want to know is if Poe imagines the two laying side by side or if Annabel Lee is in an additional coffin.) Honestly! What was he thinking?!?
The reason why love is such an easy/pervasive topic for poetry is pretty obvious, if you ask me. Everyone experiences some facet of love during their life. Everyone experiences the loss of love. It's a human inevitability. It doesn't even have to be a romantic form of love. Love, as a topic, is both rich and very low hanging fruit. Writing about it well. . . . that is another story.
So, my friends, go out there and find a love poem that speaks to you. Maybe it WILL be mushy. Maybe it will be crazy. Maybe it will be basic. Maybe it will be Avant Garde.
If you have no luck, I'll leave you with a short haiku about a smell that I absolutely LOVE:
New, newest Spring Green
The bold scent of fresh cut lawn
Filling my nose holes