[M29yo] I get "wet" before and after ejaculating

Hey everyone, this is a throwaway 'cause friends know my username.
To give you a bit of a background, I'm a 29yo male in a long-distance relationship, but my girlfriend is gonna come live with me in Autumn.

I'm writing to ask if some of you guys can relate to my situation. Basically, I don't have a lot of hard-ons on a day-to-day basis. When I do, they're mostly "physical" (a weird position, the penis grinding against my jeans, etc.) or, if they're picture/video/reddit-induced, I rub one out on the spot.
When I'm with my girlfriend - we see each other every two months - it's different tho. I'm super horny, and I get hard all the time: it can be a more aggressive kiss than normal, me grabbing her boob in the car, even being on the couch watching a movie together and imagining having sex. I don't always get what I want, because my gf's libido is lower than mine, but that's another story.

The thing is, every time I get hard around her, some precum comes out of my penis. It's like my body knows what could happen (even if we are in a public place or a parent is around, so in fact it couldn't) and gets ready for it. As you can imagine it's rather annoying going around being wet, and at the end of the day my boxers are stained all over. I don't like it one bit. It happens when I'm about to have sex as well: I'm drenched throughout all the foreplay.

Related to this: after I masturbate/have sex, it's like some cum still remains in my penis. No matter how hard I try to squeeze it all out (and believe me, I do), some will come out when the dick is soft again. The more I have a fulfilling and draining sex, the less amount of "after cum" comes out: but when I have a quick jerk-off session you can rest assured it's gonna be awful.
I resort to put some toilet paper around my dick, to absorb the liquid when needed (usually 5/10 minutes after dick is soft again), but as you can imagine it's uncomfortable, and it works poorly. Most of the times I need to go to the bathroom and clean it after 5 minutes, and another time after 15 because there's more.

So yeah, I was just wondering if you think it's normal, if any of you has the same problem and what do to solve it. I had it for as long as I can remember, and I do feel it's gonna get better when my gf would be here with me and we could have sex more regularly but it's still annoying.

Thanks guys! I love this community, even from the lurker POV most of the times :)