How long to labor at home?

Angela • Baby Boy Born July 20th 2016💙 Baby Girl Born August 24th 2018 🎀 Baby Girl #2 Born January 2022 🎀 🌈 Baby Boy #2 born May 17th 2024 💙

So I started having some mild contractions after having strong Braxton Hicks consistently all weekend. Tonight they kicked up a notch and started to feel like real contractions, they started to burn in my lower abdomen and cause a lot of back pain. They started 6 mins apart. We had sex to try and help things along and then contractions were pretty strong and 3-4 mins apart. We got our stuff packed and by the door but I wanted to wait and make sure they actually stuck around, I had pre labor all day Friday and it stopped so I’m a little skeptical. Well I laid down and tried to rest during them, they got pretty strong for awhile, but after laying down for an hour they calmed down a bit and moved more to 5-6 mins apart. Now they are a little more mild so I got up and started walking around and now they are back to 3 mins apart and she’s definitely lower, I’m getting alot of shooting pains going down the back of my thighs and I can feel her head lower. When do you guys think it’s safe to do in? It’s my third baby and I’m 40 mins away from the hospital but I’m so worried about my contractions stopping or slowing down and getting sent home. lol